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Shubin, Mikhail Aleksandrovich

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Author ID: shubin.mikhail-a Recent zbMATH articles by "Shubin, Mikhail Aleksandrovich"
Published as: Shubin, M.; Shubin, M. A.; Shubin, Mikhail; Shubin, Mikhail A.
External Links: MGP · Math-Net.Ru · Wikidata · GND
Documents Indexed: 194 Publications since 1966, including 26 Books
Biographic References: 3 Publications
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Co-Authors

73 single-authored
17 Egorov, Yuriĭ Vladimirovich
15 Gamkrelidze, Revaz Valerianovich
9 Gromov, Mikhael Leonidovich
8 Agranovich, Mikhail Semënovich
8 Gel’fand, Israil’ Moiseevich
7 Kondrat’ev, Vladimir Aleksandrovich
6 Meladze, G. A.
5 Bondareva, I. N.
5 Fedosov, Boris Vasil’evich
5 Maslov, Viktor Pavlovich
4 Brenner, A. V.
4 Dobrushin, Roland Lvovich
4 Dubinskiĭ, Yuliĭ Andreevich
4 Kozlov, Sergeĭ Mikhaĭlovich
4 Maz’ya, Vladimir Gilelevich
4 Minlos, Robert Adol’fovich
4 Vishik, Marko Iosifovich
3 Berezin, Feliks Aleksandrovich
3 Bogorodskaya, T. E.
3 Dedik, P. E.
3 Mathai, Varghese
3 Oleĭnik, Ol’ga Arsen’evna
3 Popov, Georgi St.
3 Schenk, Dieter
3 Smagin, S. A.
3 Tikhomirov, Vladimir Mikhaĭlovich
3 Tulovskii, V. N.
3 Vershik, Anatoliĭ Moiseevich
2 Arnol’d, Vladimir Igorevich
2 Babin, Anatoli V.
2 Bagirov, Lev A.
2 Bogolyubov, Nikolaĭ Nikolaevich
2 Chepyzhov, Vladimir V.
2 Demidov, Alexandre Sergeevich
2 Efremov, D. V.
2 Fursikov, Andreĭ Vladimirovich
2 Kappeler, Thomas
2 Khenkin, Gennadiĭ Markovich
2 Kirillov, Alexandre Aleksandrovich
2 Komech, Aleksandr I.
2 Kreĭn, Mark Grigor’evich
2 Kuksin, Sergeĭ B.
2 Leites, Dimitry A.
2 Manin, Yuri Ivanovich
2 Novikov, Sergeĭ Petrovich
2 Perry, Peter A.
2 Rozenblyum, G. V.
2 Shnirelman, Alexander I.
2 Sinaĭ, Yakov Grigor’evich
2 Sobolev, Sergeĭ L’vovich
2 Solomyak, Mikhaĭl Zakharovich
2 Topalov, Peter J.
2 Volevich, Leonid Romanovich
1 Aĭzenberg, Lev Abramovich
1 Alfimov, Georgiĭ Leonidovich
1 Amosov, B. A.
1 Birman, Mikhail Shlëmovich
1 Braverman, Maxim
1 Burago, Yuriĭ Dmitrievich
1 Comech, Andrew
1 Éskin, G. I.
1 Filippov, Alexey F.
1 Friedlander, L. F.
1 Gindikin, Simon Grigorevich
1 Gorin, Evgeniĭ Alekseevich
1 Goritsky, Andrey Yu.
1 Gusev, A. I.
1 Khavin, Viktor Petrovich
1 Ilyashenko, Yulij Sergeevich
1 Ivrii, Victor Ja.
1 Kalashnikov, Anatolii S.
1 Karabegov, Alexander V.
1 Karasev, Mikhail Vladimirovich
1 Koldan, Nilufer
1 Komech, Alexander Ilich
1 Kontsevich, Maxim Lvovich
1 Kordyukov, Yuri A.
1 Krasnov, M. L.
1 Kruzhkov, Stanislav Nicolayevich
1 Kuleshov, A. P.
1 Landis, Evgenii Mikhailovich
1 Lin, Vladimir Ya.
1 Makarenko, G. I.
1 Milatovic, Ognjen
1 Millionshchikov, Vladimir Mikhaĭlovich
1 Nekrasov, Nikita Alexandrovich
1 Nesterenko, Yuriĭ Valentinovich
1 Poborchii, S. V.
1 Prokhorenkov, Igor
1 Pukhnachov, Vladislav Vasil’evich
1 Reshetnyak, Yuriĭ Grigor’evich
1 Retakh, Vladimir Solomonovich
1 Schwarz, Albert S.
1 Seifarth, Sönke
1 Seyfarth, S.
1 Shidlovskij, A. B.
1 Sternheimer, Daniel
1 Sunada, Toshikazu
1 Tamarkin, Dmitry E.
1 Tarkhanov, Nikolai N.
...and 7 more Co-Authors
all top 5

Serials

15 Russian Mathematical Surveys
11 Uspekhi Matematicheskikh Nauk [N. S.]
10 Soviet Mathematics. Doklady
10 Mathematics of the USSR, Sbornik
9 Functional Analysis and its Applications
9 Matematicheskiĭ Sbornik. Novaya Seriya
8 Encyclopaedia of Mathematical Sciences
8 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
7 Moscow University Mathematics Bulletin
7 Journal of Soviet Mathematics
7 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
6 Trudy Seminara Imeni I. G. Petrovskogo
5 Geometric and Functional Analysis. GAFA
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Communications in Partial Differential Equations
3 Translations. Series 2. American Mathematical Society
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Siberian Mathematical Journal
2 Comptes Rendus de l’Académie des Sciences. Série I
1 Communications in Mathematical Physics
1 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika
1 Advances in Mathematics
1 Differentsial’nye Uravneniya
1 Differential Equations
1 Geometriae Dedicata
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Mathematics of the USSR. Izvestiya
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
1 Transactions of the Moscow Mathematical Society
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Annals of Global Analysis and Geometry
1 IMRN. International Mathematics Research Notices
1 The Journal of Geometric Analysis
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Russian Journal of Mathematical Physics
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Séminaire Équations aux Dérivées Partielles
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya
1 Annals of Mathematics. Second Series
1 Pure and Applied Mathematics Quarterly
1 Graduate Studies in Mathematics
1 Translations. Series 2. American Mathematical Society

Publications by Year

Citations contained in zbMATH

135 Publications have been cited 1,880 times in 1,520 Documents Cited by Year
Pseudodifferential operators and spectral theory. Transl. from the Russian by Stig I. Andersson. Zbl 0616.47040
Shubin, M. A.
257
1987
Pseudodifferential operators and spectral theory. Transl. from the Russian by Stig I. Andersson. 2nd ed. Zbl 0980.35180
Shubin, M. A.
219
2001
The Schrödinger equation. Transl. from the Russian by Yu. Rajabov, D. A. Leites and N. A. Sakharova. Rev. and exp. version. Zbl 0749.35001
Berezin, F. A.; Shubin, M. A.
151
1991
Pseudodifferential operators and spectral theory. (Psevdodifferentsial’nye operatory i spektral’naya teoriya). Zbl 0451.47064
Shubin, M. A.
137
1978
The Schrödinger equation. Zbl 0546.35002
Berezin, F. A.; Shubin, M. A.
78
1983
Spectral theory of elliptic operators on non-compact manifolds. Zbl 0793.58039
Shubin, M. A.
57
1992
The spectral theory and the index of elliptic operators with almost periodic coefficients. Zbl 0448.47032
Shubin, M. A.
46
1979
Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds. Zbl 0997.58021
Shubin, Mikhail
45
2001
Fedosov manifolds. Zbl 0945.53047
Gelfand, Israel; Retakh, Vladimir; Shubin, Mikhail
44
1998
Almost periodic functions and partial differential operators. Zbl 0408.47039
Shubin, M. A.
44
1978
Essential self-adjointness of Schrödinger-type operators on manifolds. Zbl 1052.58027
Braverman, Maxim; Milatovic, O.; Shubin, M.
40
2002
Discrete magnetic Laplacian. Zbl 0811.46079
Shubin, M. A.
33
1994
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
31
1991
Discreteness of spectrum for the Schrödinger operators on manifolds of bounded geometry. Zbl 0985.58012
Kondrat’ev, Vladimir; Shubin, Mikhail
28
1999
Non-standard analysis and singular perturbations of ordinary differential equations. Zbl 0549.34055
Zvonkin, A. K.; Shubin, M. A.
28
1984
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
26
1989
Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
20
1998
Discreteness of spectrum and positivity criteria for Schrödinger operators. Zbl 1106.35043
Maz’ya, Vladimir; Shubin, Mikhail
19
2005
Semiclassical asymptotics on covering manifolds and Morse inequalities. Zbl 0861.58039
Shubin, M. A.
19
1996
Foundations of the classical theory of partial differential equations. Transl. from the Russian by R. Cooke. 2nd printing of the 1st ed. 1992. Zbl 0895.35003
Egorov, Yu. V.; Shubin, M. A.
18
1998
On asymptotic distribution of eigenvalues of pseudodifferential operators in \(\mathbb R^n\). Zbl 0295.35068
Tulovskii, V. N.; Shubin, M. A.
18
1975
On the asymptotic distribution of eigenvalues of pseudodifferential operators in \(\mathbb R^n\). Zbl 0286.35059
Tulovskii, V. N.; Shubin, M. A.
18
1973
Spectral theory of differential operators. Zbl 0805.35081
Rozenblyum, G. V.; Shubin, M. A.; Solomyak, M. Z.
17
1989
The Miura map on the line. Zbl 1089.35058
Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter
16
2005
Spectral theory of differential operators. Zbl 0715.35057
Rozenblyum, G. V.; Solomyak, M. Z.; Shubin, M. A.
15
1989
Morse inequalities and von Neumann \(II_ 1\)-factors. Zbl 0647.46049
Novikov, S. P.; Shubin, M. A.
14
1986
On holomorphic families of subspaces of a Banach space. Zbl 0419.47004
Shubin, M. A.
14
1979
Random pseudo-differential operators and stabilization of the solutions of parabolic equations with random coefficients. Zbl 0446.35092
Dedik, P. E.; Shubin, M. A.
13
1980
Pseudo-difference operators and their Green function. Zbl 0574.39006
Shubin, M. A.
12
1985
Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators. Zbl 1140.35300
Kondratiev, Vladimir; Maz’ya, Vladimir; Shubin, Mikhail
11
2004
Pseudodifferential almost-periodic operators and von Neumann algebras. Zbl 0423.47020
Shubin, M. A.
11
1979
The index of random elliptic operators. I. Zbl 0448.47033
Fedosov, B. V.; Shubin, M. A.
11
1978
Can one see the fundamental frequency of a drum? Zbl 1099.35071
Maz’ya, Vladimir; Shubin, Mikhail
10
2005
Discreteness of spectrum for the magnetic Schrödinger operators. Zbl 1090.35066
Kondratiev, Vladimir; Shubin, Mikhail
10
2002
\(L^ 2\) Riemann-Roch theorem for elliptic operators. Zbl 0840.58045
Shubin, M. A.
9
1995
Linear partial differential equations. Foundations of the classical theory. Zbl 0738.35001
Egorov, Yu. V.; Shubin, M. A.
9
1988
Spektraltheorie und Index elliptischer Operatoren mit fastperiodischen Koeffizienten. Zbl 0431.47027
Shubin, M. A.
9
1979
Spectral theory of the Schrödinger operators on non-compact manifolds: Qualitative results. Zbl 0985.58015
Shubin, Mikhail
8
1999
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
Egorov, Yu. V. (ed.); Shubin, M. A. (ed.); Gamkrelidze, R. V. (ed.)
8
1992
Spectrum distribution function and variational principle for automorphic operators on hyperbolic space. Zbl 0698.35168
Efremov, D. V.; Shubin, M. A.
8
1989
Density of states of self-adjoint elliptic operators with almost periodic coefficients. Zbl 0493.35041
Shubin, M. A.
8
1978
Differential and pseudodifferential operators in spaces of almost periodic functions. Zbl 0323.47040
Shubin, M. A.
8
1976
Elements of the modern theory of partial differential equations. Translated from the 1988 Russian origianl by P. C. Sinha. Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences (Partial differential equations II), 31 (1994). Zbl 0946.35001
Egorov, Yu. V.; Komech, A. I.; Shubin, M. A.
7
1999
Equations of Korteweg-de Vries type in classes of increasing functions. Zbl 0709.35088
Bondareva, I. N.; Shubin, M. A.
7
1990
Linear partial differential equations. Fundamentals of the classical theory. Zbl 0657.35002
Egorov, Yu. V.; Shubin, M. A.
7
1988
Pseudodifference operators and their Green’s functions. Zbl 0595.39008
Shubin, M. A.
7
1986
Spectrum and its distribution function for a transversally elliptic operator. Zbl 0502.35068
Shubin, M. A.
7
1981
Poisson brackets and the kernel of the variational derivative in the formal calculus of variations. Zbl 0534.58024
Gel’fand, I. M.; Manin, Yu. I.; Shubin, M. A.
7
1976
Theorems on the coincidence of the spectra of pseudodifferential almost-periodic operators in the spaces \(L^2(\mathbb R^n)\) and \(B^2(\mathbb R^n)\). Zbl 0334.47037
Shubin, M. A.
7
1976
Differential- und Pseudodifferentialoperatoren in Räumen fastperiodischer Funktionen. Zbl 0311.47022
Shubin, M. A.
7
1974
Symbols of operators and quantization. Zbl 0262.47036
Berezin, F. A.; Shubin, M. A.
7
1972
Pseudodifferential operators in \(\mathbb R^n\). Zbl 0249.47043
Shubin, M. A.
7
1971
Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087
Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P.
6
2008
Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in \(K\)-theory. Zbl 1084.58010
Kordyukov, Y.; Mathai, V.; Shubin, M.
6
2005
Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators. Zbl 1007.58016
Mathai, V.; Shubin, M.
6
2002
Classical and quantum completeness for the Schrödinger operators on non-compact manifolds. Zbl 0938.35111
Shubin, Mikhail
6
1999
Linear partial differential equations. Elements of the general theory. Zbl 0686.35005
Egorov, Yu. V.; Shubin, M. A.
6
1988
Asymptotic expansion of the state density and the spectral function of a Hill operator. Zbl 0624.34018
Schenk, Dieter; Shubin, M. A.
6
1987
On the zeta function of a transversally elliptic operator. Zbl 0578.58041
Smagin, S. A.; Shubin, M. A.
6
1984
Increasing asymptotic solutions of the Korteweg-de Vries equation and its higher analogues. Zbl 0522.35076
Bondareva, I. N.; Shubin, M. A.
6
1982
Novikov inequalities for vector fields. Zbl 0868.58006
Shubin, Mikhail
5
1996
The spectral asymptotics of elliptic operators of Schrödinger type on a hyperbolic space. Zbl 0827.35092
Efremov, D. V.; Shubin, M. A.
5
1991
Fastperiodische Funktionen und partielle Differentialoperatoren. Zbl 0383.47025
Shubin, M. A.
5
1978
Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities. Zbl 0909.58048
Mathai, Varghese; Shubin, Mikhail
4
1996
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
Gamkrelidze, R. V. (ed.); Egorov, Yu. V. (ed.); Shubin, M. A. (ed.)
4
1994
The Riemann-Roch theorem for elliptic operators. Zbl 0802.58051
Gromov, Mikhael; Shubin, Mikhail A.
4
1993
Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds. Zbl 0797.57016
Gromov, M.; Shubin, M. A.
4
1992
Atiyah-Bott-Lefschetz formula for elliptic complexes on manifolds with boundary. Zbl 0784.58056
Brenner, A. V.; Shubin, M. A.
4
1991
Uniqueness of the solution of the Cauchy problem for the Korteweg-de Vries equation in classes of increasing functions. Zbl 0659.35098
Bondareva, I. N.; Shubin, M. A.
4
1985
Asymptotic expansion of the density of states and the spectral function of the Hill operator. Zbl 0604.34015
Schenk, D.; Shubin, M. A.
4
1985
Random pseudodifferential operators and the stabilization of solutions of parabolic equations with random coefficients. Zbl 0479.35086
Dedik, P. E.; Shubin, M. A.
4
1982
Almost-periodic elliptic operators and von Neumann algebras. Zbl 0355.35069
Shubin, M. A.
4
1975
On the essential self-adjointness of uniformly hypoelliptic operators. Zbl 0295.47054
Shubin, M. A.
4
1975
Gauge optimization and spectral properties of magnetic Schrödinger operators. Zbl 1185.35044
Kondratiev, Vladimir; Maz’ya, Vladimir; Shubin, Mikhail
3
2009
The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets. Zbl 0822.58046
Gromov, Michael; Shubin, Mikhail A.
3
1994
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
Egorov, Yu. V. (ed.); Shubin, M. A. (ed.); Gamkrelidze, R. V. (ed.)
3
1991
Weak Bloch property and weight estimates for elliptic operators. Appendix: On the equality between weak and strong extensions (by M. A. Shubin and J. Sjöstrand). Zbl 0716.35052
Shubin, M. A.
3
1990
Equations of Korteweg-de Vries type in classes of increasing functions. Zbl 0692.35120
Bondareva, I. N.; Shubin, M. A.
3
1989
Proper uniform pseudodifferential operators on unimodular Lie groups. Zbl 0675.58036
Meladze, G. A.; Shubin, M. A.
3
1989
Variational principle and asymptotic behavior of the density of states for random pseudodifferential operators. Zbl 0671.60062
Bogorodskaya, T. E.; Shubin, M. A.
3
1986
On the uniqueness of the solution of the Cauchy problem for the Korteweg- de Vries equation in classes of increasing functions. Zbl 0578.35083
Bondareva, I. N.; Shubin, M. A.
3
1985
Algebras of pseudodifferential operators on unimodular Lie groups. Zbl 0617.35138
Meladze, G. A.; Shubin, M. A.
3
1984
Pseudodifference operators and their inversion. Zbl 0583.39001
Shubin, M. A.
3
1984
A complete asymptotic expansion of the spectral function for second-order elliptic operators in \(R^ n\). Zbl 0548.35093
Popov, G. S.; Shubin, M. A.
3
1983
The density of states of selfadjoint elliptic operators with almost periodic coefficients. Zbl 0514.35027
Shubin, M. A.
3
1982
Essential self-adjointness of uniformly hypoelliptic operators. Zbl 0307.47048
Shubin, M. A.
3
1975
Über holomorphe Scharen von Unterräumen eines Banachraumes. (On holomorphic families of subspaces of a Banach space). Zbl 0233.32024
Shubin, M. A.
3
1970
Semiclassical asymptotics on manifolds with boundary. Zbl 1198.35165
Koldan, Nilufer; Prokhorenkov, Igor; Shubin, Mikhail
2
2009
Geometric theory of lattice vibrations and specific heat. Zbl 1108.82005
Shubin, Mikhail; Sunada, Toshikazu
2
2006
Mikhail Semenovich Agranovich (on his 70th birthday). Zbl 1017.01503
Amosov, B. A.; Birman, M. S.; Vishik, M. I.; Volevich, L. R.; Gel’fand, I. M.; Friedlander, L. F.; Shubin, M. A.
2
2001
Discreteness of spectrum conditions for Schrödinger operators on manifolds. Zbl 0953.58024
Kondrat’ev, V. A.; Shubin, M. A.
2
1999
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
Agranovich, M. S. (ed.); Egorov, Yu. V. (ed.); Shubin, M. A. (ed.); Gamkrelidze, R. V. (ed.)
2
1997
Contemporary mathematical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0845.00041
Dobrushin, R. L. (ed.); Minlos, R. A. (ed.); Shubin, M. A. (ed.); Vershik, A. M. (ed.)
2
1996
The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets. Zbl 0826.58033
Gromov, Mikhael; Shubin, Mikhail A.
2
1993
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
Egorov, Yu. V. (ed.); Shubin, M. A. (ed.); Gamkrelidze, R. V. (ed.)
2
1993
Algebraic remarks on idempotent semirings and the kernel theorem in spaces of bounded functions. Zbl 0799.47017
Shubin, M. A.
2
1992
A functional calculus of pseudodifferential operators on unimodular Lie groups. Zbl 0689.35102
Meladze, G. A.; Shubin, M. A.
2
1989
Functional calculus of pseudodifferential operators on unimodular Lie groups. Zbl 0659.35111
Meladze, G. A.; Shubin, M. A.
2
1987
Asymptotic expansion of the spectral function of the Hill operator. Zbl 0626.34064
Schenk, D.; Shubin, M. A.
2
1986
On the coincidence of the spectra of random elliptic operators. Zbl 0568.35091
Kozlov, S. M.; Shubin, M. A.
2
1985
Gauge optimization and spectral properties of magnetic Schrödinger operators. Zbl 1185.35044
Kondratiev, Vladimir; Maz’ya, Vladimir; Shubin, Mikhail
3
2009
Semiclassical asymptotics on manifolds with boundary. Zbl 1198.35165
Koldan, Nilufer; Prokhorenkov, Igor; Shubin, Mikhail
2
2009
Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087
Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P.
6
2008
Geometric theory of lattice vibrations and specific heat. Zbl 1108.82005
Shubin, Mikhail; Sunada, Toshikazu
2
2006
Discreteness of spectrum and positivity criteria for Schrödinger operators. Zbl 1106.35043
Maz’ya, Vladimir; Shubin, Mikhail
19
2005
The Miura map on the line. Zbl 1089.35058
Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter
16
2005
Can one see the fundamental frequency of a drum? Zbl 1099.35071
Maz’ya, Vladimir; Shubin, Mikhail
10
2005
Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in \(K\)-theory. Zbl 1084.58010
Kordyukov, Y.; Mathai, V.; Shubin, M.
6
2005
Foreword [to the Memorial volume for F. A. Berezin]. Zbl 1146.00304
Kontsevich, Maxim; Nekrasov, Nikita; Schwarz, Albert; Shubin, Mikhail; Sternheimer, Daniel
1
2005
Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators. Zbl 1140.35300
Kondratiev, Vladimir; Maz’ya, Vladimir; Shubin, Mikhail
11
2004
Essential self-adjointness of Schrödinger-type operators on manifolds. Zbl 1052.58027
Braverman, Maxim; Milatovic, O.; Shubin, M.
40
2002
Discreteness of spectrum for the magnetic Schrödinger operators. Zbl 1090.35066
Kondratiev, Vladimir; Shubin, Mikhail
10
2002
Semiclassical asymptotics and gaps in the spectra of magnetic Schrödinger operators. Zbl 1007.58016
Mathai, V.; Shubin, M.
6
2002
Pseudodifferential operators and spectral theory. Transl. from the Russian by Stig I. Andersson. 2nd ed. Zbl 0980.35180
Shubin, M. A.
219
2001
Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds. Zbl 0997.58021
Shubin, Mikhail
45
2001
Mikhail Semenovich Agranovich (on his 70th birthday). Zbl 1017.01503
Amosov, B. A.; Birman, M. S.; Vishik, M. I.; Volevich, L. R.; Gel’fand, I. M.; Friedlander, L. F.; Shubin, M. A.
2
2001
Discreteness of spectrum for the Schrödinger operators on manifolds of bounded geometry. Zbl 0985.58012
Kondrat’ev, Vladimir; Shubin, Mikhail
28
1999
Spectral theory of the Schrödinger operators on non-compact manifolds: Qualitative results. Zbl 0985.58015
Shubin, Mikhail
8
1999
Elements of the modern theory of partial differential equations. Translated from the 1988 Russian origianl by P. C. Sinha. Reprint of the original English edition from the series Encyclopaedia of Mathematical Sciences (Partial differential equations II), 31 (1994). Zbl 0946.35001
Egorov, Yu. V.; Komech, A. I.; Shubin, M. A.
7
1999
Classical and quantum completeness for the Schrödinger operators on non-compact manifolds. Zbl 0938.35111
Shubin, Mikhail
6
1999
Discreteness of spectrum conditions for Schrödinger operators on manifolds. Zbl 0953.58024
Kondrat’ev, V. A.; Shubin, M. A.
2
1999
Fedosov manifolds. Zbl 0945.53047
Gelfand, Israel; Retakh, Vladimir; Shubin, Mikhail
44
1998
Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds. Zbl 0926.32011
Gromov, M.; Henkin, G.; Shubin, M.
20
1998
Foundations of the classical theory of partial differential equations. Transl. from the Russian by R. Cooke. 2nd printing of the 1st ed. 1992. Zbl 0895.35003
Egorov, Yu. V.; Shubin, M. A.
18
1998
De Rham theorem for extended \(L^2\)-cohomology. Zbl 0935.55002
Shubin, Mikhail
1
1998
Partial differential equations. IX: Elliptic boundary value problems. Transl. from the Russian. Zbl 0855.00007
Agranovich, M. S. (ed.); Egorov, Yu. V. (ed.); Shubin, M. A. (ed.); Gamkrelidze, R. V. (ed.)
2
1997
Semiclassical asymptotics on covering manifolds and Morse inequalities. Zbl 0861.58039
Shubin, M. A.
19
1996
Novikov inequalities for vector fields. Zbl 0868.58006
Shubin, Mikhail
5
1996
Twisted \(L^2\) invariants of non-simply connected manifolds and asymptotic \(L^2\) Morse inequalities. Zbl 0909.58048
Mathai, Varghese; Shubin, Mikhail
4
1996
Contemporary mathematical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0845.00041
Dobrushin, R. L. (ed.); Minlos, R. A. (ed.); Shubin, M. A. (ed.); Vershik, A. M. (ed.)
2
1996
Topics in statistical and theoretical physics. F. A. Berezin memorial volume. Transl. ed. by A. B. Sossinsky. Zbl 0853.00022
Dobrushin, R. L. (ed.); Minlos, R. A. (ed.); Shubin, M. A. (ed.); Vershik, A. M. (ed.)
1
1996
Alik Berezin in the recollections of friends. Zbl 0852.01013
Maslov, V. P.; Shubin, M. A.; Vershik, A. M.; Vvedenskaya, N. D.
1
1996
Remarks on the topology of the Hilbert Grassmannian. Zbl 0867.46021
Shubin, M. A.
1
1996
\(L^ 2\) Riemann-Roch theorem for elliptic operators. Zbl 0840.58045
Shubin, M. A.
9
1995
Discrete magnetic Laplacian. Zbl 0811.46079
Shubin, M. A.
33
1994
Partial differential equations II. Elements of the modern theory. Equations with constant coefficients. Transl. from the Russian. Zbl 0804.00011
Gamkrelidze, R. V. (ed.); Egorov, Yu. V. (ed.); Shubin, M. A. (ed.)
4
1994
The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets. Zbl 0822.58046
Gromov, Michael; Shubin, Mikhail A.
3
1994
Partial differential equations VII. Spectral theory of differential operators. Transl. from the Russian. Zbl 0804.00010
Gamkrelidze, R. V. (ed.); Shubin, M. A. (ed.)
1
1994
The Riemann-Roch theorem for elliptic operators. Zbl 0802.58051
Gromov, Mikhael; Shubin, Mikhail A.
4
1993
The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets. Zbl 0826.58033
Gromov, Mikhael; Shubin, Mikhail A.
2
1993
Partial differential equations IV: Microlocal analysis and hyperbolic equations. Transl. from the Russian by P.C. Sinha. Zbl 0777.00009
Egorov, Yu. V. (ed.); Shubin, M. A. (ed.); Gamkrelidze, R. V. (ed.)
2
1993
Spectral theory of elliptic operators on non-compact manifolds. Zbl 0793.58039
Shubin, M. A.
57
1992
Partial differential equations I. Foundations of the classical theory. Transl. from the Russian by R. Cooke. Zbl 0741.00024
Egorov, Yu. V. (ed.); Shubin, M. A. (ed.); Gamkrelidze, R. V. (ed.)
8
1992
Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds. Zbl 0797.57016
Gromov, M.; Shubin, M. A.
4
1992
Algebraic remarks on idempotent semirings and the kernel theorem in spaces of bounded functions. Zbl 0799.47017
Shubin, M. A.
2
1992
The Riemann-Roch theorem for general elliptic operators. Zbl 0758.58030
Gromov, Mikhaël; Shubin, Mikhail A.
1
1992
The Schrödinger equation. Transl. from the Russian by Yu. Rajabov, D. A. Leites and N. A. Sakharova. Rev. and exp. version. Zbl 0749.35001
Berezin, F. A.; Shubin, M. A.
151
1991
Von Neumann spectra near zero. Zbl 0751.58039
Gromov, M.; Shubin, M. A.
31
1991
The spectral asymptotics of elliptic operators of Schrödinger type on a hyperbolic space. Zbl 0827.35092
Efremov, D. V.; Shubin, M. A.
5
1991
Atiyah-Bott-Lefschetz formula for elliptic complexes on manifolds with boundary. Zbl 0784.58056
Brenner, A. V.; Shubin, M. A.
4
1991
Partial differential equations III. The Cauchy problem. Qualitative theory of partial differential equations. Transl. from the Russ. by M. Grinfeld. Zbl 0741.00025
Egorov, Yu. V. (ed.); Shubin, M. A. (ed.); Gamkrelidze, R. V. (ed.)
3
1991
The Atiyah-Bott-Lefschetz formula for elliptic complexes on a manifold with border. Zbl 0738.58043
Brenner, A. V.; Shubin, M. A.
1
1991
Lefschetz fixed point formula for manifolds with cylindrical ends. Zbl 0748.58004
Seyfarth, S.; Shubin, M. A.
1
1991
Equations of Korteweg-de Vries type in classes of increasing functions. Zbl 0709.35088
Bondareva, I. N.; Shubin, M. A.
7
1990
Weak Bloch property and weight estimates for elliptic operators. Appendix: On the equality between weak and strong extensions (by M. A. Shubin and J. Sjöstrand). Zbl 0716.35052
Shubin, M. A.
3
1990
Some unsolved problems in the theory of differential equations and mathematical physics. Zbl 0703.35002
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A.
26
1989
Spectral theory of differential operators. Zbl 0805.35081
Rozenblyum, G. V.; Shubin, M. A.; Solomyak, M. Z.
17
1989
Spectral theory of differential operators. Zbl 0715.35057
Rozenblyum, G. V.; Solomyak, M. Z.; Shubin, M. A.
15
1989
Spectrum distribution function and variational principle for automorphic operators on hyperbolic space. Zbl 0698.35168
Efremov, D. V.; Shubin, M. A.
8
1989
Equations of Korteweg-de Vries type in classes of increasing functions. Zbl 0692.35120
Bondareva, I. N.; Shubin, M. A.
3
1989
Proper uniform pseudodifferential operators on unimodular Lie groups. Zbl 0675.58036
Meladze, G. A.; Shubin, M. A.
3
1989
A functional calculus of pseudodifferential operators on unimodular Lie groups. Zbl 0689.35102
Meladze, G. A.; Shubin, M. A.
2
1989
Linear partial differential equations. Foundations of the classical theory. Zbl 0738.35001
Egorov, Yu. V.; Shubin, M. A.
9
1988
Linear partial differential equations. Fundamentals of the classical theory. Zbl 0657.35002
Egorov, Yu. V.; Shubin, M. A.
7
1988
Linear partial differential equations. Elements of the general theory. Zbl 0686.35005
Egorov, Yu. V.; Shubin, M. A.
6
1988
Linear partial differential equations. Elements of the modern theory. Zbl 0805.35004
Egorov, Yu. V.; Shubin, M. A.
1
1988
Pseudodifferential operators and spectral theory. Transl. from the Russian by Stig I. Andersson. Zbl 0616.47040
Shubin, M. A.
257
1987
Asymptotic expansion of the state density and the spectral function of a Hill operator. Zbl 0624.34018
Schenk, Dieter; Shubin, M. A.
6
1987
Functional calculus of pseudodifferential operators on unimodular Lie groups. Zbl 0659.35111
Meladze, G. A.; Shubin, M. A.
2
1987
Morse inequalities and von Neumann \(II_ 1\)-factors. Zbl 0647.46049
Novikov, S. P.; Shubin, M. A.
14
1986
Pseudodifference operators and their Green’s functions. Zbl 0595.39008
Shubin, M. A.
7
1986
Variational principle and asymptotic behavior of the density of states for random pseudodifferential operators. Zbl 0671.60062
Bogorodskaya, T. E.; Shubin, M. A.
3
1986
Asymptotic expansion of the spectral function of the Hill operator. Zbl 0626.34064
Schenk, D.; Shubin, M. A.
2
1986
Spectral properties and the spectrum distribution function of a transversally elliptic operator. Zbl 0587.47003
Shubin, M. A.
1
1986
Pseudo-difference operators and their Green function. Zbl 0574.39006
Shubin, M. A.
12
1985
Uniqueness of the solution of the Cauchy problem for the Korteweg-de Vries equation in classes of increasing functions. Zbl 0659.35098
Bondareva, I. N.; Shubin, M. A.
4
1985
Asymptotic expansion of the density of states and the spectral function of the Hill operator. Zbl 0604.34015
Schenk, D.; Shubin, M. A.
4
1985
On the uniqueness of the solution of the Cauchy problem for the Korteweg- de Vries equation in classes of increasing functions. Zbl 0578.35083
Bondareva, I. N.; Shubin, M. A.
3
1985
On the coincidence of the spectra of random elliptic operators. Zbl 0568.35091
Kozlov, S. M.; Shubin, M. A.
2
1985
Non-standard analysis and singular perturbations of ordinary differential equations. Zbl 0549.34055
Zvonkin, A. K.; Shubin, M. A.
28
1984
On the zeta function of a transversally elliptic operator. Zbl 0578.58041
Smagin, S. A.; Shubin, M. A.
6
1984
Algebras of pseudodifferential operators on unimodular Lie groups. Zbl 0617.35138
Meladze, G. A.; Shubin, M. A.
3
1984
Pseudodifference operators and their inversion. Zbl 0583.39001
Shubin, M. A.
3
1984
Zeta-function of a transversely elliptic operator. Zbl 0569.58034
Smagin, S. A.; Shubin, M. A.
1
1984
The Schrödinger equation. Zbl 0546.35002
Berezin, F. A.; Shubin, M. A.
78
1983
A complete asymptotic expansion of the spectral function for second-order elliptic operators in \(R^ n\). Zbl 0548.35093
Popov, G. S.; Shubin, M. A.
3
1983
Asymptotic expansion of the spectral function for second-order elliptic operators in \({\mathbb{R}}^ n\). Zbl 0533.35072
Popov, G. S.; Shubin, M. A.
2
1983
A complete asymptotic expansion of the spectral function for second order elliptic operators in \(R^ n\). Zbl 0533.35073
Popov, G. S.; Shubin, M. A.
1
1983
A theorem on the coincidence of spectra for random elliptic operators. Zbl 0516.47027
Kozlov, S. M.; Shubin, M. A.
1
1983
Increasing asymptotic solutions of the Korteweg-de Vries equation and its higher analogues. Zbl 0522.35076
Bondareva, I. N.; Shubin, M. A.
6
1982
Random pseudodifferential operators and the stabilization of solutions of parabolic equations with random coefficients. Zbl 0479.35086
Dedik, P. E.; Shubin, M. A.
4
1982
The density of states of selfadjoint elliptic operators with almost periodic coefficients. Zbl 0514.35027
Shubin, M. A.
3
1982
On the asymptotics of the spectral shift function. Zbl 0541.58047
Ivrij, V. Ya.; Shubin, M. A.
2
1982
Spectral properties and the distribution function of the spectrum of a transversally elliptic operator. Zbl 0521.47003
Shubin, M. A.
1
1982
On the structure of functions of class S of self-adjoint elliptic operators on \(R^ n\). Zbl 0505.47038
Kozlov, S. M.; Shubin, M. A.
1
1982
Atiyah-Bott-Lefschetz theorem for manifolds with boundary. Zbl 0487.58027
Brenner, A. V.; Shubin, M. A.
1
1982
Spectrum and its distribution function for a transversally elliptic operator. Zbl 0502.35068
Shubin, M. A.
7
1981
Atiyah-Bott-Lefschetz theorem for manifolds with boundary. Zbl 0483.58015
Brenner, A. V.; Shubin, M. A.
2
1981
On the spectrum and its distribution function for a transversally elliptic operator. Zbl 0455.35095
Shubin, M. A.
1
1981
Random pseudo-differential operators and stabilization of the solutions of parabolic equations with random coefficients. Zbl 0446.35092
Dedik, P. E.; Shubin, M. A.
13
1980
...and 35 more Documents
all top 5

Cited by 1,626 Authors

24 Shubin, Mikhail Aleksandrovich
17 Milatovic, Ognjen
17 Rodino, Luigi
16 de Gosson, Maurice Alexis
15 Mathai, Varghese
14 Nicola, Fabio
14 Rabinovich, Vladimir Samuilovich
13 Braverman, Maxim
13 Raikov, Georgi D.
12 Boggiatto, Paolo
12 Cordero, Elena
12 Pilipović, Stevan
12 Ruzhansky, Michael V.
12 Toft, Joachim
11 Helffer, Bernard
11 Kordyukov, Yuri A.
11 Lavrov, Petr M.
10 Cappiello, Marco
10 Güneysu, Batu
10 Lenz, Daniel H.
10 Oliaro, Alessandro
10 Wahlberg, Patrik
9 Gramchev, Todor V.
9 Lesch, Matthias
9 Robert, Didier
9 Sukochev, Fedor Anatol’evich
8 Benameur, Moulay-Tahar
8 Brudnyi, Alexander
8 El Aidi, Mohammed
8 Gitman, Dmitri M.
8 Kappeler, Thomas
8 Levendorskiĭ, Sergeĭ Zakharovich
8 Nistor, Victor
7 Delgado, Julio
7 Fiedler, Bernold
7 Friedlander, Leonid
7 Gröchenig, Karlheinz
7 Luef, Franz
7 Maz’ya, Vladimir Gilelevich
7 Mughetti, Marco
7 Perez, Joe J.
7 Ramacher, Pablo
7 Teofanov, Nenad
7 Xia, Jingbo
7 Yafaev, Dimitri R.
6 Baskakov, Anatoliĭ Grigor’evich
6 Burghelea, Dan
6 Buzano, Ernesto
6 Carey, Alan L.
6 Coriasco, Sandro
6 Dias, Nuno Costa
6 Kisil, Vladimir V.
6 Kuzovatov, Vyacheslav Igor’evich
6 Loya, Paul A.
6 Prangoski, Bojan
6 Prata, João Nuno
6 Prykarpatsky, Anatoliy Karolevych
6 Rocha, Carlos
6 Truc, Françoise
6 Veselić, Ivan
6 Wong, Man Wah
5 Boĭmatov, Kamoliddin Khamroevich
5 Booss-Bavnbek, Bernhelm
5 Bruneau, Vincent
5 Brüning, Jochen
5 Dobrokhotov, Sergei Yurievich
5 Engliš, Miroslav
5 Gérard, Christian
5 Geyer, Bodo
5 Ichinose, Takashi
5 Ivrii, Victor Ja.
5 Karpeshina, Yulia E.
5 Krainer, Thomas
5 Krishtal, Ilya Arkadievich
5 Kuchment, Peter A.
5 Li, Haoguang
5 Măntoiu, Marius Laurenţiu
5 Pankov, Alexander A.
5 Parmeggiani, Alberto
5 Peyerimhoff, Norbert
5 Prykarpatsky, Yarema Anatoliyovych
5 Pushnitski, Alexander B.
5 Schneider, Reinhold
5 Schulz, René M.
5 Schulze, Bert-Wolfgang
5 Shirai, Shin-ichi
5 Sobolev, Alexander V.
5 Tarkhanov, Nikolai N.
5 Topalov, Peter J.
4 Anghel, Nicolae
4 Chen, Guoyuan
4 Da Silva, Edcarlos Domingos
4 Duduchava, Roland
4 Dynin, Alexander
4 Fahrenwaldt, Matthias Albrecht
4 Fukuizumi, Reika
4 Gayral, Victor
4 Georgiev, Bogdan
4 Gromov, Mikhael Leonidovich
4 Guido, Daniele
...and 1,526 more Authors
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Cited in 282 Serials

111 Journal of Functional Analysis
51 Journal of Mathematical Analysis and Applications
44 Communications in Mathematical Physics
43 Journal of Mathematical Physics
41 Journal of Differential Equations
37 Functional Analysis and its Applications
33 Journal of Soviet Mathematics
32 Integral Equations and Operator Theory
31 Mathematical Notes
31 Transactions of the American Mathematical Society
31 Annals of Global Analysis and Geometry
30 Journal of Geometry and Physics
30 Proceedings of the American Mathematical Society
29 Journal of Mathematical Sciences (New York)
28 Journal of Pseudo-Differential Operators and Applications
26 Advances in Mathematics
19 Communications in Partial Differential Equations
17 Russian Journal of Mathematical Physics
16 Journal d’Analyse Mathématique
15 Annales Henri Poincaré
14 Annales de l’Institut Fourier
14 Siberian Mathematical Journal
13 Nuclear Physics. B
13 The Journal of Geometric Analysis
13 Geometric and Functional Analysis. GAFA
12 Letters in Mathematical Physics
12 Theoretical and Mathematical Physics
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Differential Equations
11 Physics Letters. A
11 Ukrainian Mathematical Journal
11 Inventiones Mathematicae
11 Mathematische Nachrichten
11 Mathematische Zeitschrift
11 Differential Geometry and its Applications
10 Reviews in Mathematical Physics
10 Duke Mathematical Journal
10 Mathematische Annalen
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Bulletin des Sciences Mathématiques
8 International Journal of Modern Physics A
8 Journal of Statistical Physics
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Calculus of Variations and Partial Differential Equations
8 Mathematical Physics, Analysis and Geometry
7 Archive for Rational Mechanics and Analysis
7 Monatshefte für Mathematik
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 International Journal of Mathematics
7 Discrete and Continuous Dynamical Systems
7 The Journal of Fourier Analysis and Applications
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Proceedings of the Steklov Institute of Mathematics
6 Rocky Mountain Journal of Mathematics
6 Manuscripta Mathematica
6 Applied Mathematics Letters
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
6 Applied and Computational Harmonic Analysis
6 St. Petersburg Mathematical Journal
6 Abstract and Applied Analysis
6 International Journal of Geometric Methods in Modern Physics
5 Israel Journal of Mathematics
5 Mathematical Methods in the Applied Sciences
5 Reports on Mathematical Physics
5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
5 Zeitschrift für Analysis und ihre Anwendungen
5 Acta Applicandae Mathematicae
5 Revista Matemática Iberoamericana
5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Indagationes Mathematicae. New Series
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Potential Analysis
5 Complex Variables and Elliptic Equations
5 Complex Analysis and Operator Theory
5 Journal of Spectral Theory
4 Physics Letters. B
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Memoirs of the American Mathematical Society
4 Numerische Mathematik
4 Proceedings of the Japan Academy. Series A
4 Results in Mathematics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Annals of Physics
4 SIAM Journal on Mathematical Analysis
4 Stochastic Processes and their Applications
4 Journal of the European Mathematical Society (JEMS)
4 Nonlinear Analysis. Theory, Methods & Applications
3 Analysis Mathematica
3 Computer Methods in Applied Mechanics and Engineering
3 International Journal of Theoretical Physics
3 Inverse Problems
3 Journal of Applied Mathematics and Mechanics
3 Russian Mathematical Surveys
3 Chaos, Solitons and Fractals
3 The Annals of Probability
3 Archiv der Mathematik
3 Geometriae Dedicata
3 Journal of Approximation Theory
3 Rendiconti del Seminario Matematico della Università di Padova
...and 182 more Serials
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Cited in 59 Fields

709 Partial differential equations (35-XX)
424 Operator theory (47-XX)
393 Global analysis, analysis on manifolds (58-XX)
299 Quantum theory (81-XX)
187 Functional analysis (46-XX)
125 Differential geometry (53-XX)
104 Ordinary differential equations (34-XX)
80 Dynamical systems and ergodic theory (37-XX)
60 Probability theory and stochastic processes (60-XX)
54 Harmonic analysis on Euclidean spaces (42-XX)
53 Statistical mechanics, structure of matter (82-XX)
49 Topological groups, Lie groups (22-XX)
45 Several complex variables and analytic spaces (32-XX)
44 Numerical analysis (65-XX)
37 Manifolds and cell complexes (57-XX)
34 Abstract harmonic analysis (43-XX)
32 Fluid mechanics (76-XX)
28 Mechanics of deformable solids (74-XX)
26 \(K\)-theory (19-XX)
26 Relativity and gravitational theory (83-XX)
25 Functions of a complex variable (30-XX)
24 Optics, electromagnetic theory (78-XX)
23 Number theory (11-XX)
21 Potential theory (31-XX)
21 Integral transforms, operational calculus (44-XX)
21 Biology and other natural sciences (92-XX)
20 Algebraic geometry (14-XX)
16 Integral equations (45-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
15 Mechanics of particles and systems (70-XX)
14 Special functions (33-XX)
12 Combinatorics (05-XX)
12 Statistics (62-XX)
11 Information and communication theory, circuits (94-XX)
10 History and biography (01-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Algebraic topology (55-XX)
10 Systems theory; control (93-XX)
9 Nonassociative rings and algebras (17-XX)
9 Real functions (26-XX)
9 Difference and functional equations (39-XX)
9 Approximations and expansions (41-XX)
8 Associative rings and algebras (16-XX)
8 Measure and integration (28-XX)
6 Computer science (68-XX)
6 Geophysics (86-XX)
5 General topology (54-XX)
4 Category theory; homological algebra (18-XX)
4 Sequences, series, summability (40-XX)
4 Convex and discrete geometry (52-XX)
3 Mathematical logic and foundations (03-XX)
3 Commutative algebra (13-XX)
2 General and overarching topics; collections (00-XX)
2 Group theory and generalizations (20-XX)
2 Geometry (51-XX)
1 Field theory and polynomials (12-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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