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Faddeev, Lyudvig Dmitrievich (b. 1934 d. 2017)

Author ID: faddeev.ludvig-dmitrievich Recent zbMATH articles by "Faddeev, Lyudvig Dmitrievich"
Published as: Faddeev, L. D.; Faddeev, Ludvig; Faddeev, L.; Faddeev, Ludwig D.; Faddeev, Ludwig; Faddeev, Ludvig Dmitrievich; Faddeev, Ludvig D.; Faddeev, L. L.
Further Spellings: Фаддеев Людвиг Дмитриевич
Homepage: http://faddeev.com/
External Links: MacTutor · MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Shaw Prize (2008)
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Co-Authors

89 single-authored
18 Takhtajan, Leon Armenovich
14 Novikov, Sergeĭ Petrovich
11 Volkov, Alexander Yu.
9 Osipov, Yuriĭ Sergeevich
8 Niemi, Antti J.
7 Gonchar, Andreĭ Aleksandrovich
7 Kozlov, Valeriĭ Vasil’evich
7 Mishchenko, Evgeniĭ Frolovich
7 Vershik, Anatoliĭ Moiseevich
6 Alekseev, Anton Yur’evich
5 Buslaev, Vladimir Savel’evich
5 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich
5 Ural’tseva, Nina Nikolaevna
4 Bukhshtaber, Viktor Matveevich
4 Gamkrelidze, Revaz Valerianovich
4 Gindikin, Simon Grigorevich
4 Kashaev, Rinat M.
4 Mal’tsev, Arkadiĭ Anatol’evich
4 Margulis, Grigoriĭ Aleksandrovich
4 Maslov, Viktor Pavlovich
4 Pavlov, Boris Sergeevich
4 Rapinchuk, Andrei S.
4 Zel’manov, Efim Isaakovich
4 Zhizhchenko, Alexey B.
3 Adyan, Sergeĭ Ivanovich
3 Benyash-Krivets, Valeriĭ Vatslavovich
3 Emel’yanov, Stanislav Vasil’evich
3 Gorin, Evgeniĭ Alekseevich
3 Ibragimov, Il’dar Abdullovich
3 Kirillov, Alexandre Aleksandrovich
3 Kostyuchenko, Anatolii Gordeevich
3 Krasnosel’skiĭ, Mark Aleksandrovich
3 Kreĭn, Selim Grigor’evich
3 Ladyzhenskaya, Ol’ga Aleksandrovna
3 Marchenko, Vladimir Aleksandrovich
3 Merkur’ev, Stanislav Petrovich
3 Mityagin, Boris Samuilovich
3 Nikol’skiĭ, Nikolaĭ Kapitonovich
3 Oskolkov, Anatolii Petrovich
3 Pastur, Leonid Andreevich
3 Petunin, Yuriĭ Ivanovich
3 Prasad, Gopal
3 Reshetikhin, Nikolai Yu.
3 Reyman, Alexey G.
3 Rutitskij, Ya. B.
3 Sergeev, Armen Glebovich
3 Sinaĭ, Yakov Grigor’evich
3 Slavnov, Andreĭ Alekseevich
3 Sobolev, Vladimir Ivanovich
3 Suslina, Tat’yana Aleksandrovna
3 Tsitlanadze, Elizbar S.
3 Venkov, Alexei Borisovich
3 Vilenkin, Naum Yakovlevich
3 Vladimirov, Vasiliĭ Sergeevich
3 Yafaev, Dimitri R.
2 Aleksandrov, Aleksandr Danilovich
2 Anosov, Dmitriĭ Viktorovich
2 Arnol’d, Vladimir Igorevich
2 Aseev, Sergei M.
2 Babich, Vasiliĭ Mikhaĭlovich
2 Bogolyubov, Nikolaĭ Nikolaevich
2 Bolibrukh, Andreĭ Andreevich
2 Chernousov, Vladimir I.
2 Clark, Douglas Napier
2 Derkachëv, Sergeĭ Èduardovich
2 Douglas, Ronald George
2 Helson, Henry
2 Il’in, Arlen Mikhaĭlovich
2 Il’in, Vladimir Aleksandrovich
2 Its, Alexander Rudolfovich
2 Kalinin, V. L.
2 Karatsuba, Anatoliĭ Alekseevich
2 Kislyakov, Sergeĭ Vital’evich
2 Kolmogorov, Andreĭ Nikolaevich
2 Konovalov, Sergeĭ Petrovich
2 Kulish, Petr Petrovich
2 Kurzhanskiĭ, Aleksandr Borisovich
2 Laptev, Ari
2 Leiterer, Jürgen
2 Mardzhanishvili, Konstantin Konstantinovich
2 McKean, Henry P. jun.
2 Naboko, Serguei N.
2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
2 Parshin, Alekseĭ Nikolaevich
2 Paton, Borys Yevgenovych
2 Peller, Vladimir Vsevolodovich
2 Plamenevskiĭ, Boris Alekseevich
2 Putnam, Calvin R.
2 Sakhnovych, Lev Aronovych
2 Sklyanin, Evgeny K.
2 Smyth, M. R. F.
2 Solomyak, Mikhaĭl Zakharovich
2 Stet’senko, V. Ya.
2 Szőkefalvi-Nagy, Béla
2 Treshchev, Dmitriĭ Valer’evich
2 Ul’yanov, Pëtr Lavrent’evich
2 Vasyunin, Vasiliĭ Ivanovich
2 Vinogradov, Askol’d Ivanovich
2 Vinogradov, Ivan Matveevich
2 Vitushkin, Anatoliĭ Georgievich
...and 102 more Co-Authors
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Serials

21 Russian Mathematical Surveys
10 Theoretical and Mathematical Physics
7 Journal of Soviet Mathematics
6 Communications in Mathematical Physics
6 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
5 Functional Analysis and its Applications
4 Physics Letters. B
4 Uspekhi Matematicheskikh Nauk [N. S.]
4 Journal of Mathematical Sciences (New York)
4 Proceedings of the Steklov Institute of Mathematics
4 Trudy Matematicheskogo Instituta Imeni V. A. Steklova
3 International Journal of Modern Physics A
3 Letters in Mathematical Physics
3 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
3 Soviet Physics. Doklady
3 Differential Equations
2 Doklady Akademii Nauk SSSR
2 Journal of Mathematical Physics
2 Nuclear Physics. B
2 Soviet Mathematics. Doklady
2 Journal of Physics A: Mathematical and General
2 Vestnik Leningrad University. Mathematics
2 Physical Review Letters
2 Frontiers in Physics
2 Translations. Series 2. American Mathematical Society
1 Modern Physics Letters A
1 Soviet Scientific Reviews. Section C
1 Teoreticheskaya i Matematicheskaya Fizika
1 Journal of Geometry and Physics
1 Gazette des Mathématiciens
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Selecta Mathematica Sovietica
1 Acta Applicandae Mathematicae
1 Physica D
1 Leningrad Mathematical Journal
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 St. Petersburg Mathematical Journal
1 Izvestiya: Mathematics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of High Energy Physics
1 Physica Scripta
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Milan Journal of Mathematics
1 Soviet Physics, JETP
1 Chebyshevskiĭ Sbornik
1 Lecture Notes in Mathematics
1 Mathematical Physics and Applied Mathematics
1 World Scientific Series in 20th Century Mathematics
1 Student Mathematical Library
1 NATO Science Series II: Mathematics, Physics and Chemistry
1 Journal of Physics A: Mathematical and Theoretical
1 Soviet Physics Uspekhi
1 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya
1 World Scientific Series in 21st Century Mathematics
1 Classics in Mathematics
1 Springer Collected Works in Mathematics

Publications by Year

Citations contained in zbMATH Open

143 Publications have been cited 4,493 times in 3,614 Documents Cited by Year
Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. Zbl 1111.37001
Faddeev, Ludwig D.; Takhtajan, Leon A.
361
2007
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
319
1990
How the algebraic Bethe ansatz works for integrable models. Zbl 0934.35170
Faddeev, L. D.
226
1998
Quantum inverse problem method. I. Zbl 1138.37331
Sklyanin, E. K.; Takhtadzhyan, L. A.; Faddeev, L. D.
204
1980
The spectral theory of a functional-difference operator in conformal field theory. Zbl 1327.39013
Takhtajan, L. A.; Faddeev, L. D.
145
2015
Hamiltonian reduction of unconstrained and constrained systems. Zbl 1129.81328
Faddeev, L.; Jackiw, R.
142
1988
Hamiltonian methods in the theory of solitons. (Гамил’тонов подход в теории солитонов.) Zbl 0632.58003
Takhtadzhyan, L. A.; Faddeev, L. D.
130
1986
Quantum dilogarithm. Zbl 0866.17010
Faddeev, L. D.; Kashaev, R. M.
130
1994
Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Zbl 0632.58004
Faddeev, L. D.; Takhtadzhyan, L. A.
125
1987
Discrete Heisenberg-Weyl group and modular group. Zbl 0836.47012
Faddeev, L. D.
125
1995
Korteweg-de Vries equation: a completely integrable Hamiltonian system. Zbl 0257.35074
Zakharov, V. E.; Faddeev, L. D.
120
1972
A remark on Schrödinger’s equation with a singular potential. Zbl 0117.06601
Berezin, F. A.; Faddeev, L. D.
103
1961
Gauge fields: introduction to quantum theory. Transl. from the Russian ed. by D. B. Pontecorvo. Zbl 0486.53052
Faddeev, L. D.; Slavnov, A. A.
93
1980
The inverse problem in the quantum theory of scattering. Zbl 0112.45101
Faddeev, L. D.; Seckler, B.
93
1963
Asymptotic conditions and infrared divergences in quantum electrodynamics. Zbl 0197.26201
Kulish, P. P.; Faddeev, L. D.
90
1970
Quantum completely integrable models in field theory. Zbl 0569.35064
Faddeev, L. D.
86
1980
Quantum scattering theory for several particle systems. Transl. from the Russian. Zbl 0797.47005
Faddeev, L. D.; Merkuriev, S. P.
78
1993
The Feynman integral for singular Lagrangians. Zbl 1183.81090
Faddeev, L. D.
77
1969
Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality. Zbl 0981.81052
Faddeev, L. D.; Kashaev, R. M.; Volkov, A. Yu.
71
2001
Introduction to the quantum theory of gauge fields. 2nd ed., rev. and compl. (Введение в квантовую теорию калибровочных полей.) Zbl 0663.53060
Slavnov, A. A.; Faddeev, L. D.
71
1988
Inverse problem of quantum scattering theory. II. Zbl 0373.35014
Faddeev, L. D.
71
1976
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
66
1989
Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0532.47009
Faddeev, L. D.; Takhtadzhyan, L. A.
65
1984
The quantum inverse problem method. I. Zbl 0449.35096
Faddeev, L. D.; Sklyanin, E. K.; Takhtadzhyan, L. A.
64
1979
Properties of the S-matrix of the one-dimensional Schrödinger equation. Zbl 0181.56704
Faddeev, L. D.
55
1967
Quantization of symplectic orbits of compact Lie groups by means of the functional integral. Zbl 0698.58025
Alekseev, A.; Faddeev, L.; Shatashvili, S.
55
1988
Modular double of a quantum group. Zbl 1071.81533
Faddeev, Ludwig
54
2000
Gauge fields. Introduction to quantum theory. Transl. from the 2nd Russian edition by G. B. Pontecorvo. Zbl 0984.81502
Faddeev, L. D.; Slavnov, A. A.
51
1991
Abelian current algebra and the Virasoro algebra on the lattice. Zbl 0864.17042
Faddeev, L. D.; Volkov, A. Yu.
46
1993
Mathematical aspects of the three-body problem in the quantum scattering theory. Translated from Russian by Ch. Gurfreund, translation edited by I. Meroz. (Works of the Steklov Mathematical Institute. Vol. 69). Zbl 0131.43504
Faddeev, L. D.
45
1965
Partially dual variables in \(\text{SU}(2)\) Yang-Mills theory. Zbl 0958.81039
Faddeev, Ludvig; Niemi, Antti J.
43
1999
Formulas for traces for a singular Sturm-Liouville differential operator. Zbl 0129.06501
Buslaev, V. S.; Faddeev, L. D.
43
1960
Complete description of solutions of the ’sine-Gordon’ equation. Zbl 0312.35051
Zakharov, V. E.; Takhtadzhyan, L. A.; Faddeev, L. D.
37
1974
Hirota equation as an example of an integrable symplectic map. Zbl 0807.35124
Faddeev, L.; Volkov, A. Yu.
36
1994
Expansion in eigenfunctions of the Laplace operator on the fundamental domain of a discrete group on the Lobachevskij plane. Zbl 0201.41601
Faddeev, L. D.
36
1967
Algebraic aspects of the Bethe ansatz. Zbl 1044.82535
Faddeev, L. D.
35
1995
Eigenschaften der S-Matrix der eindimensionalen Schrödinger-Gleichung. Zbl 0145.46702
Faddeev, L. D.
35
1964
Essentially nonlinear one-dimensional model of classical field theory. Zbl 0299.35063
Tahtadzjan, L. A.; Faddeev, L. D.
35
1975
The inverse problem in the quantum theory of scattering. Zbl 0091.21902
Faddeev, L. D.
33
1959
\((T^*G)_ t\): a toy model for conformal field theory. Zbl 0767.17024
Alekseev, A. Yu.; Faddeev, L. D.
32
1991
Über ein Modell von Friedrichs in der Theorie der Störungen des stetigen Spektrums. Zbl 0148.12801
Faddeev, L. D.
31
1964
The inverse problem in the quantum theory of scattering. II. Zbl 0299.35027
Faddeev, L. D.
30
1974
Hidden quantum groups inside Kac-Moody algebras. Zbl 0765.17010
Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A.
30
1992
The energy problem in Einstein’s theory of gravitation (Dedicated to the memory of V. A. Fock). Zbl 0541.53023
Faddeev, L. D.
26
1982
Differential geometry and Lagrangian mechanics with constraints. Zbl 0243.70014
Vershik, A. M.; Faddeev, L. D.
25
1972
Aspects of electric and magnetic variables in SU(2) Yang-Mills theory. Zbl 0983.81057
Faddeev, Ludvig; Niemi, Antti J.
24
2002
Lagrangian mechanics in invariant form. Zbl 0518.58015
Vershik, A. M.; Faddeev, L. D.
22
1975
On the exchange matrix for WZNW model. Zbl 0731.17018
Faddeev, L. D.
21
1990
Partial duality in \(\text{SU}(N)\) Yang-Mills theory. Zbl 1058.81587
Faddeev, Ludvig; Niemi, Antti J.
19
1999
Increasing solutions of the Schrödinger equation. Zbl 0147.09404
Faddeev, L. D.
19
1965
Generalized Bethe ansatz equations for Hofstadter problem. Zbl 0833.58053
Faddeev, L. D.; Kashaev, R. M.
17
1995
Functional analysis. Edited by S. G. Kreĭn. (Функционаляный анализ.) Zbl 0128.10302
Vilenkin, N. Ya.; Gorin, E. A.; Kostyuchenko, A. G.; Krasnosel’skiĭ, M. A.; Kreĭn, S. G.; Maslov, V. P.; Mityagin, B. S.; Petunin, Yu. I.; Rutitskiĭ, Ya. B.; Sobolev, V. I.; Stetsenko, V. Ya.; Faddeev, L. D.; Tsitlanadze, È. S.
17
1964
Functional analysis. Translated from the Russian by Richard E. Flaherty. English edition edited by George F. Votruba with the collaboration of Leo F. Boron. Zbl 0236.47001
Vilenkin, N. Ya.; Gorin, E. A.; Kostyuchenko, A. G.; Krasnosel’skiĭ, M. A.; Kreĭn, S. G.; Maslov, V. P.; Mityagin, B. S.; Petunin, Yu. I.; Rutitskiĭ, Ya. B.; Sobolev, V. I.; Stetsenko, V. Ya.; Faddeev, L. D.; Tsitlanadze, E. S.
17
1972
Lectures on quantum mechanics for mathematics students. Translated by Harold McFaden. Zbl 1193.81001
Faddeev, L. D.; Yakubovskiĭ, O. A.
16
2009
Currentlike variables in massive and massless integrable models. Zbl 0862.35115
Faddeev, L.
16
1996
An expression for the trace of the difference between two singular differential operators of the Sturm-Liouville type. Zbl 0143.31403
Faddeev, L. D.
15
1957
Connections of the Liouville model and \(XXZ\) spin chain. Zbl 1003.82505
Faddeev, Ludvig D.; Tirkkonen, Olav
14
1995
The differential calculus on quantum linear groups. Zbl 0866.17012
Faddeev, L. D.; Pyatov, P. N.
14
1996
40 years in mathematical physics. Zbl 0837.01035
Faddeev, L. D.
13
1995
Decomposing the Yang-Mills field. Zbl 0987.81062
Faddeev, Ludvig; Niemi, Antti J.
13
1999
The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0471.47009
Takhtadzhyan, L. A.; Faddeev, L. D.
13
1981
Knotted solitons. Zbl 1027.35108
Faddeev, L. D.
13
2002
Mass in quantum Yang-Mills theory (comment on a Clay millenium problem). Zbl 1033.81056
Faddeev, L. D.
12
2002
Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100
Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A.
11
1986
New dynamical variables in Einstein’s theory of gravity. Zbl 1274.83012
Faddeev, L. D.
11
2011
Spin-charge separation, conformal covariance and the \(\text{SU}(2)\) Yang-Mills theory. Zbl 1186.81086
Faddeev, Ludvig; Niemi, Antti J.
10
2007
Instructive history of the quantum inverse scattering method. Zbl 0833.35120
Faddeev, L.
10
1995
Scattering theory and automorphic functions. Zbl 0343.35004
Pavlov, B. S.; Faddeev, L. D.
10
1975
Poisson structure for the KdV equation. Zbl 0595.35093
Faddeev, L. D.; Takhtadzhan, L. A.
10
1985
Quantum completely integral models of field theory. Zbl 0443.35078
Faddeev, L. D.
10
1979
Non-abelian supercurrents and de Sitter ground state in electroweak theory. Zbl 1329.81388
Chernodub, M. N.; Faddeev, Ludvig; Niemi, Antti J.
10
2008
Two-dimensional integrable models in quantum field theory. Zbl 1063.81643
Faddeev, L. D.
9
1981
On the relation between the S-matrix and potential for the one- dimensional Schrödinger operator. Zbl 0085.43302
Faddeev, L. D.
9
1958
Notes on divergences and dimensional transmutation in Yang-Mills theory. Zbl 1177.81105
Faddeev, L. D.
8
2006
On continuous spectrum perturbation theory. Zbl 0088.09101
Ladyzhenskaya, O. A.; Faddeev, L. D.
8
1958
Quantum scattering theory for systems of several particles. (Kvantovaya teoriya rasseyaniya dlya sistem neskol’kikh chastits). Zbl 0585.35078
Merkur’ev, S. P.; Faddeev, L. D.
8
1985
Yang-Baxterization of quantum dilogarithm. Zbl 0899.17003
Volkov, A. Yu.; Faddeev, L. D.
8
1995
Discrete evolution for the zero modes of the quantum Liouville model. Zbl 1139.81385
Faddeev, L. D.; Volkov, A. Yu
7
2008
Algebraic quantization of integrable models in discrete space-time. Zbl 0931.35136
Faddeev, Ludwig D.; Volkov, Alexandre Yu.
7
1999
Strongly coupled quantum discrete Liouville theory. II: Geometric interpretation of the evolution operator. Zbl 1066.81033
Faddeev, L. D.; Kashaev, R. M.
7
2002
Selected works. V. A. Fock. Quantum mechanics and quantum field theory. Zbl 1088.01018
7
2004
Mathematische Fragen der Quantentheorie der Streuung für Systeme von drei Teilchen. Zbl 0125.21502
Faddeev, L. D.
7
1963
Hidden quantum groups inside Kac-Moody algebras. Zbl 0798.17008
Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A.
7
1992
The Hamiltonian system connected with the equation \(u_{\xi,\eta}+\sin u=0\). Zbl 0412.35065
Takhtadzhyan, L. A.; Faddeev, L. D.
7
1976
Volkov pentagon for the modular quantum dilogarithm. Zbl 1271.33001
Faddeev, L. D.
7
2011
Knots as possible excitations of the quantum Yang-Mills fields. Zbl 1179.81115
Faddeev, L. D.
6
2008
Representation theory of lattice current algebras. Zbl 0892.17019
Alekseev, Anton Y.; Faddeev, Ludwig D.; Fröhlich, Jürg; Schomerus, Volker
6
1998
Knotted solitons and their physical applications. Zbl 1012.81035
Faddeev, Ludwig
6
2001
Quantum anomalies and cocycles on gauge groups. Zbl 0588.58001
Reyman, A. G.; Semenov-Tian-Shansky, Michael A.; Faddeev, L. D.
6
1984
A nonarithmetic derivation of the Selberg trace formula. Zbl 0406.43008
Venkov, A. B.; Kalinin, V. L.; Faddeev, L. D.
6
1977
History and perspectives of quantum groups. Zbl 1117.17004
Faddeev, L. D.
5
2006
Renormalization scenario for the quantum Yang-Mills theory in four-dimensional space-time. Zbl 1390.81319
Derkachev, C. E.; Ivanov, A. V.; Faddeev, L. D.
5
2017
On the Friedrichs model in the theory of perturbations of a continuous spectrum. Zbl 0183.41902
Faddeev, L. D.
5
1967
Shift operator for nonabelian lattice current algebra. Zbl 1069.81038
Faddeev, Ludvig; Volkov, Alexander Yu.
5
2004
What is complete integrability in quantum mechanics. Zbl 1129.81042
Faddeev, L. D.
5
2007
Infrared variables for the \(SU(3)\) Yang-Mills field. Zbl 1178.81178
Bolokhov, T. A.; Faddeev, L. D.
4
2004
Yang-Baxterization of quantum dilogarithm. Zbl 0893.17014
Volkov, A. Yu.; Faddeev, L. D.
4
1995
\((T^*\mathcal{B})_ q\), \(q\)-analog of model space and the Clebsch-Gordan coefficients generating matrices. Zbl 0873.17018
Bytsko, A. G.; Faddeev, L. D.
4
1996
On the theory of nonlinear chiral fields. Zbl 0375.57008
Semenov-Tian-Shansky, M. A.; Faddeev, L. D.
4
1977
Shafranov’s virial theorem and magnetic plasma confinement. Zbl 1031.76061
Faddeev, Ludvig; Freyhult, Lisa; Niemi, Antti J.; Rajan, Peter
4
2002
Renormalization scenario for the quantum Yang-Mills theory in four-dimensional space-time. Zbl 1390.81319
Derkachev, C. E.; Ivanov, A. V.; Faddeev, L. D.
5
2017
Scenario for the renormalization in the 4D Yang-Mills theory. Zbl 1332.81134
Faddeev, L. D.
3
2016
Scenario for the renormalization in the 4D Yang-Mills theory. Zbl 1346.81071
Faddeev, L. D.
3
2016
Fifty years of mathematical physics. Selected works of Ludwig Faddeev. Edited by Molin Ge and Antti J. Niemi. Zbl 1347.81016
Faddeev, Ludwig
2
2016
The spectral theory of a functional-difference operator in conformal field theory. Zbl 1327.39013
Takhtajan, L. A.; Faddeev, L. D.
145
2015
Zero modes for the quantum Liouville model. Zbl 1308.81153
Faddeev, L. D.
2
2014
Modular double of the quantum group \(\mathrm{SL}_q(2,\mathbb{R})\). Zbl 1317.81162
Faddeev, L. D.
2
2014
A couple of methodological comments on the quantum Yang-Mills theory. Zbl 1317.81197
Faddeev, L. D.
1
2014
New dynamical variables in Einstein’s theory of gravity. Zbl 1274.83012
Faddeev, L. D.
11
2011
Volkov pentagon for the modular quantum dilogarithm. Zbl 1271.33001
Faddeev, L. D.
7
2011
Mikhail Shlemovich Birman (obituary). Zbl 1219.01025
Babich, V. M.; Buslaev, V. S.; Vershik, A. M.; Gindikin, S. G.; Kislyakov, S. V.; Laptev, A.; Marchenko, V. A.; Nikol’skii, N. K.; Pastur, L. A.; Plamenevskii, B. A.; Solomyak, M. Z.; Suslina, T. A.; Ural’tseva, N. N.; Faddeev, L. D.; Khavin, V. P.; Yafaev, D. R.
2
2010
Faddeev-Popov ghosts. Zbl 1188.81133
Faddeev, Ludvig Dmitrievich
1
2010
In memory of Evgenii Frolovich Mishchenko. Zbl 1302.01048
Osipov, Yu. S.; Kozlov, V. V.; Faddeev, L. D.; Anosov, D. V.; Vladimirov, V. S.; Gamkrelidze, R. V.; Gonchar, A. A.; Krasovskii, N. N.; Kryazhimskii, A. V.; Kurzhanski, A. B.; Novikov, S. P.; Aseev, S. M.; Zhizhchenko, A. B.; Treschev, D. V.; Agrachev, A. A.; Volkov, E. A.; Grigorenko, N. L.; Davydov, A. A.; Zelikin, M. I.; Kolesov, A. Yu.; Mal’tsev, A. A.; Nikol’skii, M. S.; Rozov, N. Kh.; Sergeev, A. G.; Besov, K. O.; Konovalov, S. P.
1
2010
Lectures on quantum mechanics for mathematics students. Translated by Harold McFaden. Zbl 1193.81001
Faddeev, L. D.; Yakubovskiĭ, O. A.
16
2009
Non-abelian supercurrents and de Sitter ground state in electroweak theory. Zbl 1329.81388
Chernodub, M. N.; Faddeev, Ludvig; Niemi, Antti J.
10
2008
Discrete evolution for the zero modes of the quantum Liouville model. Zbl 1139.81385
Faddeev, L. D.; Volkov, A. Yu
7
2008
Knots as possible excitations of the quantum Yang-Mills fields. Zbl 1179.81115
Faddeev, L. D.
6
2008
Discrete series of representations for the modular double of the quantum group \(U_q (sl(2, \mathbb R))\). Zbl 1213.17013
Faddeev, L. D.
2
2008
Knots as possible excitations of the quantum Yang-Mills fields. Zbl 1170.81415
Faddeev, Ludwig D.
2
2008
Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Reprint of the 1987 original. Zbl 1111.37001
Faddeev, Ludwig D.; Takhtajan, Leon A.
361
2007
Spin-charge separation, conformal covariance and the \(\text{SU}(2)\) Yang-Mills theory. Zbl 1186.81086
Faddeev, Ludvig; Niemi, Antti J.
10
2007
What is complete integrability in quantum mechanics. Zbl 1129.81042
Faddeev, L. D.
5
2007
Notes on divergences and dimensional transmutation in Yang-Mills theory. Zbl 1177.81105
Faddeev, L. D.
8
2006
History and perspectives of quantum groups. Zbl 1117.17004
Faddeev, L. D.
5
2006
Algebraic lessons from the theory of quantum integrable models. Zbl 1229.81135
Faddeev, L. D.
1
2006
Perturbation theory for gauge-invariant fields (With a preface by D. Gordon and B.W. Lee). Zbl 1088.81075
Popov, V. N.; Faddeev, L. D.
3
2005
Discretized Virasoro algebra. Zbl 1268.81088
Faddeev, Ludwig D.
2
2005
Mass in quantum Yang-Mills theory (comment on a Clay millennium problem). Zbl 1105.83009
Faddeev, L. D.
1
2005
Selected works. V. A. Fock. Quantum mechanics and quantum field theory. Zbl 1088.01018
7
2004
Shift operator for nonabelian lattice current algebra. Zbl 1069.81038
Faddeev, Ludvig; Volkov, Alexander Yu.
5
2004
Infrared variables for the \(SU(3)\) Yang-Mills field. Zbl 1178.81178
Bolokhov, T. A.; Faddeev, L. D.
4
2004
Aspects of electric and magnetic variables in SU(2) Yang-Mills theory. Zbl 0983.81057
Faddeev, Ludvig; Niemi, Antti J.
24
2002
Knotted solitons. Zbl 1027.35108
Faddeev, L. D.
13
2002
Mass in quantum Yang-Mills theory (comment on a Clay millenium problem). Zbl 1033.81056
Faddeev, L. D.
12
2002
Strongly coupled quantum discrete Liouville theory. II: Geometric interpretation of the evolution operator. Zbl 1066.81033
Faddeev, L. D.; Kashaev, R. M.
7
2002
Shafranov’s virial theorem and magnetic plasma confinement. Zbl 1031.76061
Faddeev, Ludvig; Freyhult, Lisa; Niemi, Antti J.; Rajan, Peter
4
2002
Andrei Aleksandrovich Gonchar (on the occasion of his seventieth birthday). Zbl 1049.01518
Bolibrukh, A. A.; Vitushkin, A. G.; Vladimirov, V. S.; Mishchenko, E. F.; Novikov, S. P.; Osipov, Yu. S.; Sergeev, A. G.; Ul’yanov, P. L.; Faddeev, L. D.; Chirka, E. M.
1
2002
Strongly coupled quantum discrete Liouville theory. I: Algebraic approach and duality. Zbl 0981.81052
Faddeev, L. D.; Kashaev, R. M.; Volkov, A. Yu.
71
2001
Knotted solitons and their physical applications. Zbl 1012.81035
Faddeev, Ludwig
6
2001
Modular double of a quantum group. Zbl 1071.81533
Faddeev, Ludwig
54
2000
Modern mathematical physics: what it should be. Zbl 1074.81500
Faddeev, L. D.
3
2000
Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026
Buslaev, V. S.; Vershik, A. M.; Gel’fand, I. M.; Gindikin, S. G.; Ladyzhenskaya, O. A.; Solomyak, M. Z.; Faddeev, L. D.; Yafaev, D. R.
2
2000
Partially dual variables in \(\text{SU}(2)\) Yang-Mills theory. Zbl 0958.81039
Faddeev, Ludvig; Niemi, Antti J.
43
1999
Partial duality in \(\text{SU}(N)\) Yang-Mills theory. Zbl 1058.81587
Faddeev, Ludvig; Niemi, Antti J.
19
1999
Decomposing the Yang-Mills field. Zbl 0987.81062
Faddeev, Ludvig; Niemi, Antti J.
13
1999
Algebraic quantization of integrable models in discrete space-time. Zbl 0931.35136
Faddeev, Ludwig D.; Volkov, Alexandre Yu.
7
1999
Instructive history of the quantum inverse scattering method. Zbl 1036.81516
Faddeev, L.
1
1999
Elementary introduction to quantum field theory. Zbl 1137.81349
Faddeev, Ludwig
1
1999
How the algebraic Bethe ansatz works for integrable models. Zbl 0934.35170
Faddeev, L. D.
226
1998
Representation theory of lattice current algebras. Zbl 0892.17019
Alekseev, Anton Y.; Faddeev, Ludwig D.; Fröhlich, Jürg; Schomerus, Volker
6
1998
Quantum integrable models on \(1+1\) discrete space time. Zbl 0948.37059
Faddeev, L.; Volkov, A.
1
1997
Currentlike variables in massive and massless integrable models. Zbl 0862.35115
Faddeev, L.
16
1996
The differential calculus on quantum linear groups. Zbl 0866.17012
Faddeev, L. D.; Pyatov, P. N.
14
1996
\((T^*\mathcal{B})_ q\), \(q\)-analog of model space and the Clebsch-Gordan coefficients generating matrices. Zbl 0873.17018
Bytsko, A. G.; Faddeev, L. D.
4
1996
Discrete Heisenberg-Weyl group and modular group. Zbl 0836.47012
Faddeev, L. D.
125
1995
Algebraic aspects of the Bethe ansatz. Zbl 1044.82535
Faddeev, L. D.
35
1995
Generalized Bethe ansatz equations for Hofstadter problem. Zbl 0833.58053
Faddeev, L. D.; Kashaev, R. M.
17
1995
Connections of the Liouville model and \(XXZ\) spin chain. Zbl 1003.82505
Faddeev, Ludvig D.; Tirkkonen, Olav
14
1995
40 years in mathematical physics. Zbl 0837.01035
Faddeev, L. D.
13
1995
Instructive history of the quantum inverse scattering method. Zbl 0833.35120
Faddeev, L.
10
1995
Yang-Baxterization of quantum dilogarithm. Zbl 0899.17003
Volkov, A. Yu.; Faddeev, L. D.
8
1995
Yang-Baxterization of quantum dilogarithm. Zbl 0893.17014
Volkov, A. Yu.; Faddeev, L. D.
4
1995
Quantum dilogarithm. Zbl 0866.17010
Faddeev, L. D.; Kashaev, R. M.
130
1994
Hirota equation as an example of an integrable symplectic map. Zbl 0807.35124
Faddeev, L.; Volkov, A. Yu.
36
1994
Quantum symmetry in conformal field theory by Hamiltonian methods. Zbl 0830.58013
Faddeev, L. D.
1
1994
Quantum scattering theory for several particle systems. Transl. from the Russian. Zbl 0797.47005
Faddeev, L. D.; Merkuriev, S. P.
78
1993
Abelian current algebra and the Virasoro algebra on the lattice. Zbl 0864.17042
Faddeev, L. D.; Volkov, A. Yu.
46
1993
From integrable models to conformal field theory via quantum groups. Zbl 0828.58022
Faddeev, L. D.
2
1993
Hidden quantum groups inside Kac-Moody algebras. Zbl 0765.17010
Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A.
30
1992
Hidden quantum groups inside Kac-Moody algebras. Zbl 0798.17008
Alekseev, A.; Faddeev, L.; Semenov-Tian-Shansky, Michael A.
7
1992
Quantum symmetry in conformal field theory by Hamiltonian methods. Zbl 1221.81107
Faddeev, L. D.
3
1992
An involution and dynamics for the \(q\)-deformed quantum top. Zbl 0835.17008
Alekseev, A. Yu.; Faddeev, L. D.
2
1992
Gauge fields. Introduction to quantum theory. Transl. from the 2nd Russian edition by G. B. Pontecorvo. Zbl 0984.81502
Faddeev, L. D.; Slavnov, A. A.
51
1991
\((T^*G)_ t\): a toy model for conformal field theory. Zbl 0767.17024
Alekseev, A. Yu.; Faddeev, L. D.
32
1991
Quantization of Lie groups and Lie algebras. Zbl 0715.17015
Reshetikhin, N. Yu.; Takhtadzhyan, L. A.; Faddeev, L. D.
319
1990
On the exchange matrix for WZNW model. Zbl 0731.17018
Faddeev, L. D.
21
1990
Differential geometry, Lie groups and mechanics. 11. Work collection. (Differentsial’naya geometriya, gruppy Li i mekhanika. 11. Sbornik rabot.) Zbl 0708.00011
1
1990
Quantization of Lie groups and Lie algebras. Zbl 0677.17010
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A.
66
1989
Quantum groups. Zbl 0716.17010
Faddeev, L.; Reshetikhin, N.; Takhtadzhyan, L.
2
1989
Differential geometry. Lie groups and mechanics. 10. Work collection. (Differentsial’naya geometriya. Gruppy Li i mekhanika. 10. Sbornik rabot.) Zbl 0673.00016
1
1989
Quantum groups. Zbl 0747.17019
Faddeev, L. D.
1
1989
Hamiltonian reduction of unconstrained and constrained systems. Zbl 1129.81328
Faddeev, L.; Jackiw, R.
142
1988
Introduction to the quantum theory of gauge fields. 2nd ed., rev. and compl. (Введение в квантовую теорию калибровочных полей.) Zbl 0663.53060
Slavnov, A. A.; Faddeev, L. D.
71
1988
Quantization of symplectic orbits of compact Lie groups by means of the functional integral. Zbl 0698.58025
Alekseev, A.; Faddeev, L.; Shatashvili, S.
55
1988
Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman. Zbl 0632.58004
Faddeev, L. D.; Takhtadzhyan, L. A.
125
1987
30 years in mathematical physics. Zbl 0632.01018
Faddeev, L. D.
2
1987
Differential geometry, Lie groups and mechanics. IX. Work collection. (Differentsial’naya geometriya, gruppy Li i mekhanika. IX. Sbornik rabot). Zbl 0628.00009
1
1987
Mathematical physics and complex analysis. Collection of survey articles. 4. On the occasion of the 50th anniversary of the Institute. (Matematicheskaya fizika i kompleksnyj analiz. Sbornik obzornykh statej 4. K 50-letiyu Instituta). Zbl 0622.00008
1
1987
Hamiltonian methods in the theory of solitons. (Гамил’тонов подход в теории солитонов.) Zbl 0632.58003
Takhtadzhyan, L. A.; Faddeev, L. D.
130
1986
Scattering theory for the Korteweg-de Vries (KdV) equation and its Hamiltonian interpretation. Zbl 0618.35100
Buslaev, V. S.; Faddeev, L. D.; Takhtadzhan, L. A.
11
1986
Poisson structure for the KdV equation. Zbl 0595.35093
Faddeev, L. D.; Takhtadzhan, L. A.
10
1985
Quantum scattering theory for systems of several particles. (Kvantovaya teoriya rasseyaniya dlya sistem neskol’kikh chastits). Zbl 0585.35078
Merkur’ev, S. P.; Faddeev, L. D.
8
1985
Selected works. Prepared by the Steklov Mathematical Institute of the Academy of Sciences of the USSR on the occasion of his ninetieth birthday. Ed. by L. D. Faddeev, R. V. Gamkrelidze, A. A. Karatsuba, K. K. Mardzhanishvili and E. F. Mishchenko. Zbl 0577.01049
Vinogradov, Ivan Matveevich
3
1985
Simple connection between the geometric and the Hamiltonian representations of integrable nonlinear equations. Zbl 0562.35088
Takhtadzhyan, L. A.; Faddeev, L. D.
2
1985
Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0532.47009
Faddeev, L. D.; Takhtadzhyan, L. A.
65
1984
Quantum anomalies and cocycles on gauge groups. Zbl 0588.58001
Reyman, A. G.; Semenov-Tian-Shansky, Michael A.; Faddeev, L. D.
6
1984
Note on the paper by V. I. Denisov and V. O. Solov’ev. Zbl 0541.53025
Faddeev, L. D.
1
1983
The energy problem in Einstein’s theory of gravitation (Dedicated to the memory of V. A. Fock). Zbl 0541.53023
Faddeev, L. D.
26
1982
A simple connection between geometric and Hamiltonian representations of integrable nonlinear equations. Zbl 0505.35082
Takhtadzhyan, L. A.; Faddeev, L. D.
1
1982
The spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model. Zbl 0471.47009
Takhtadzhyan, L. A.; Faddeev, L. D.
13
1981
...and 43 more Documents
all top 5

Cited by 3,592 Authors

34 Derkachëv, Sergeĭ Èduardovich
33 Doikou, Anastasia
31 Faddeev, Lyudvig Dmitrievich
31 Kulish, Petr Petrovich
29 Slavnov, Nikita A.
28 Ragoucy, Eric
25 Novikov, Roman G.
22 Bogolyubov, Nikolaĭ Mikhaĭlovich
19 Bazhanov, Vladimir V.
19 Crampé, Nicolas
19 Spiridonov, Vyacheslav Pavlovich
18 Albeverio, Sergio A.
18 Mudrov, Andrey I.
18 Prykarpatsky, Anatoliy Karolevych
18 Stepanyantz, K. V.
17 Ablowitz, Mark Jay
17 Sergeev, Sergeĭ Mikhaĭlovich
17 Van der Mee, Cornelis Victor Maria
16 Aktosun, Tuncay
16 Frassek, Rouven
16 Khasanov, Aknazar Bekdurdievich
16 Kirschner, Roland
16 Kozlowski, Karol Kajetan
15 Gerdzhikov, Vladimir Stefanov
14 Alekseev, Anton Yur’evich
14 Belliard, Samuel
14 Karakhanyan, David
14 Manojlović, Nenad
14 Nepomechie, Rafael I.
14 Sakhnovich, Alexander L.
13 Isaev, Alekseĭ Petrovich
13 Kashaev, Rinat M.
13 Majid, Shahn
13 Mariño, Marcos
13 Pakuliak, Stanislav Z.
13 Teschl, Gerald
13 Yafaev, Dimitri R.
12 Demontis, Francesco
12 Gurevich, Dmitrii
12 Korepin, Vladimir E.
12 Lukyanov, Sergei L.
12 Manashov, Alexander N.
12 Niccoli, Giuliano
12 Takhtajan, Leon Armenovich
12 Talalov, Sergeĭ Vladimirovich
12 Zabrodin, Anton V.
11 Caudrelier, Vincent
11 Its, Alexander Rudolfovich
11 Maillet, Jean-Michel
11 Reshetikhin, Nikolai Yu.
11 Yamazaki, Masahito
10 Avan, Jean
10 Biondini, Gino
10 Duan, Yishi
10 Gesztesy, Fritz
10 Isozaki, Hiroshi
10 Jing, Naihuan
10 Khoitmetov, Umid Azadovich
10 Maslov, Viktor Pavlovich
10 Nazarov, Sergeĭ Aleksandrovich
10 Prinari, Barbara
10 Torrielli, Alessandro
10 Yakovlev, Sergey L.
9 Abreu, Everton M. C.
9 Bolokhov, Timur A.
9 Bytsko, Andrei G.
9 Çelik, Salih
9 Chicherin, Dmitry
9 de Leeuw, Marius
9 Domrin, Andrei Victorovich
9 Hikami, Kazuhiro
9 Hryniv, Rostyslav O.
9 Ip, Ivan Chi-Ho
9 Kirillov, Anatol N.
9 Korotyaev, Evgeny L.
9 Levin, S. B.
9 Manavella, Edmundo C.
9 Oliveira, Wilson
9 Prykarpatsky, Yarema Anatoliyovych
9 Saponov, Pavel A.
9 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich
9 Shatashvili, Samson L.
9 Sklyanin, Evgeny K.
8 Budylin, A. M.
8 Frappat, Luc
8 Grassi, Alba
8 Grinevich, Pëtr Georgievich
8 Jing, Jian
8 Kuniba, Atsuo
8 Lakaev, Saidakhmat Norzhigitovich
8 Links, Jon Robert
8 Maluf, José W.
8 Mangazeev, Vladimir V.
8 Mendes, Albert C. R.
8 Molev, Alexander I.
8 Muminov, Mukhiddin Èshkobilovich
8 Paston, Sergey A.
8 Rubtsov, Vladimir Nikolaevich
8 Sarkissian, Gor
8 Shepelsky, Dmitry
...and 3,492 more Authors
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Cited in 331 Serials

288 Theoretical and Mathematical Physics
280 Journal of High Energy Physics
235 Journal of Mathematical Physics
224 Nuclear Physics. B
207 Communications in Mathematical Physics
109 Journal of Physics A: Mathematical and Theoretical
103 Journal of Mathematical Sciences (New York)
96 Letters in Mathematical Physics
83 Journal of Soviet Mathematics
81 International Journal of Modern Physics A
81 Journal of Geometry and Physics
55 Physics Letters. A
49 International Journal of Theoretical Physics
49 Journal of Algebra
41 Functional Analysis and its Applications
41 Physica D
41 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
39 Modern Physics Letters A
36 Physics Letters. B
34 St. Petersburg Mathematical Journal
33 Journal of Mathematical Analysis and Applications
33 Studies in Applied Mathematics
33 Journal of Statistical Mechanics: Theory and Experiment
32 Annales Henri Poincaré
31 Journal of Functional Analysis
30 Advances in Mathematics
26 Chaos, Solitons and Fractals
24 Duke Mathematical Journal
22 Mathematical Notes
22 Reviews in Mathematical Physics
22 Journal of Differential Equations
22 Annals of Physics
20 Reports on Mathematical Physics
19 Journal of Nonlinear Mathematical Physics
19 Proceedings of the Steklov Institute of Mathematics
17 Ukrainian Mathematical Journal
17 Transactions of the American Mathematical Society
16 General Relativity and Gravitation
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15 International Journal of Modern Physics B
15 Classical and Quantum Gravity
15 Journal of Statistical Physics
14 Russian Mathematical Surveys
14 Acta Applicandae Mathematicae
14 Russian Journal of Mathematical Physics
13 Integral Equations and Operator Theory
13 Inventiones Mathematicae
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 The European Physical Journal C. Particles and Fields
12 Communications on Pure and Applied Mathematics
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11 Nuclear Physics. B. Proceedings Supplements
11 Selecta Mathematica. New Series
10 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
10 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Russian Mathematics
10 Physical Review Letters
9 Proceedings of the American Mathematical Society
9 Journal of Nonlinear Science
9 Differential Equations
9 Advances in High Energy Physics
9 Communications in Theoretical Physics
8 Inverse Problems
8 Mathematische Nachrichten
8 Siberian Mathematical Journal
8 Discrete and Continuous Dynamical Systems
8 Lobachevskii Journal of Mathematics
8 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
8 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
7 Computers & Mathematics with Applications
7 Israel Journal of Mathematics
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7 Mathematical Methods in the Applied Sciences
7 Nonlinearity
7 Physics Reports
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7 Mathematical Physics, Analysis and Geometry
7 Communications in Nonlinear Science and Numerical Simulation
7 Foundations of Physics
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6 Applicable Analysis
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6 Compositio Mathematica
6 Mathematische Zeitschrift
6 The Journal of Geometric Analysis
6 Turkish Journal of Mathematics
6 Algebras and Representation Theory
6 Acta Mathematica Sinica. English Series
6 Journal of Cosmology and Astroparticle Physics
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6 Analysis and Mathematical Physics
5 Acta Mathematica Academiae Scientiarum Hungaricae
5 Journal d’Analyse Mathématique
5 Wave Motion
5 Annales de l’Institut Fourier
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5 Transactions of the Moscow Mathematical Society
5 SIAM Journal on Mathematical Analysis
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