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Sobolev, Alexander V.

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 Author ID: sobolev.alexander-v Published as: Sobolev, A.; Sobolev, A. V.; Sobolev, Alexander; Sobolev, Alexander V. Homepage: http://www.ucl.ac.uk/~ucahaso/ External Links: Math-Net.Ru
 Documents Indexed: 80 Publications since 1984, including 1 Book
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Co-Authors

 35 single-authored 8 Yafaev, Dimitri R. 4 Parnovski, Leonid 4 Skriganov, Maxim M. 3 Laptev, Ari 3 Leschke, Hajo 3 Spitzer, Wolfgang Ludwig 2 Filonov, Nikolai D. 2 Sobolev, Vladimir Ivanovich 1 Faddeev, Lyudvig Dmitrievich 1 Fedotov, Alexander V. 1 Harrison, Jon M. 1 Its, Alexander Rudolfovich 1 Kang, Hyunsuk 1 Konyagin, Sergeĭ Vladimirovich 1 Kostrykin, Vadim V. 1 Kuchment, Peter A. 1 Levitin, Michael R. 1 Mikhailets, Vladimir A. 1 Mityagin, Boris Samuilovich 1 Movchan, Alexander B. 1 Oleynik, Anna 1 Pfirsch, Bernhard 1 Ponosov, Arcady V. 1 Rozenblum, Grigori V. 1 Safarov, Yuri G. 1 Shargorodsky, Eugene 1 Sobolev, Daphne 1 Solomyak, Mikhaĭl Zakharovich 1 Suslina, Tat’yana Aleksandrovna 1 Tarasov, Vitaly Olegovich 1 Vassilev, Dimitar 1 Walthoe, Jonathan 1 Weidl, Timo 1 Winn, Brian
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Serials

 4 Journal of Soviet Mathematics 4 Journal of Spectral Theory 3 Duke Mathematical Journal 3 Functional Analysis and its Applications 3 Journal of Functional Analysis 3 Mathematika 3 Journal of Physics A: Mathematical and Theoretical 3 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 2 Communications in Mathematical Physics 2 Bulletin of the London Mathematical Society 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Integral Equations and Operator Theory 2 Inventiones Mathematicae 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 St. Petersburg Mathematical Journal 2 Annales Henri Poincaré 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Reviews in Mathematical Physics 1 Acta Arithmetica 1 Gazette des Mathématiciens 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Revista Matemática Iberoamericana 1 Asymptotic Analysis 1 Leningrad Mathematical Journal 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Zapiski Nauchnykh Seminarov POMI 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics
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Fields

 48 Partial differential equations (35-XX) 40 Operator theory (47-XX) 24 Quantum theory (81-XX) 11 Integral equations (45-XX) 6 Number theory (11-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 3 Potential theory (31-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH

57 Publications have been cited 422 times in 300 Documents Cited by Year
The Efimov effect. Discrete spectrum asymptotics. Zbl 0785.35070
Sobolev, A. V.
1993
On occurrence of spectral edges for periodic operators inside the Brillouin zone. Zbl 1141.82340
Harrison, Jon M.; Kuchment, P.; Sobolev, A.; Winn, B.
2007
Schrödinger operators on homogeneous metric trees: spectrum in gaps. Zbl 1038.81023
Sobolev, Alexander V.; Solomyak, Michael
2002
Absolute continuity in periodic waveguides. Zbl 1247.35077
Sobolev, Alexander V.; Walthoe, Jonathan
2002
Absolute continuity of the periodic magnetic Schrödinger operator. Zbl 0932.35049
Sobolev, Alexander V.
1999
Generalized Hardy inequality for the magnetic Dirichlet forms. Zbl 1127.26015
Balinsky, Alexander; Laptev, Ari; Sobolev, Alexander V.
2004
On the Bethe-Sommerfeld conjecture for the polyharmonic operator. Zbl 1092.35025
Parnovski, Leonid; Sobolev, Alexander V.
2001
Bethe-Sommerfeld conjecture for periodic operators with strong perturbations. Zbl 1200.47067
Parnovski, Leonid; Sobolev, Alexander V.
2010
On the Lieb-Thirring estimates for the Pauli operator. Zbl 0882.47056
Sobolev, Alexander V.
1996
Pseudo-differential operators with discontinuous symbols: Widom’s conjecture. Zbl 1297.47054
Sobolev, A. V.
2013
The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field. Zbl 0824.35151
Sobolev, A. V.
1994
Efficient bounds for the spectral shift function. Zbl 0813.47006
Sobolev, A. V.
1993
Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field, perturbed by a decreasing electric field. I. Zbl 0643.35028
Sobolev, A. V.
1986
Lattice points, perturbation theory and the periodic polyharmonic operator. Zbl 1162.35434
Parnovski, Leonid; Sobolev, Alexander V.
2001
Weyl asymptotics for the discrete spectrum of the perturbed Hill operator. Zbl 0752.34046
Sobolev, A. V.
1991
On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Zbl 0607.35070
Sobolev, A. V.; Yafaev, D. R.
1986
Functions of self-adjoint operators in ideals of compact operators. Zbl 06775073
Sobolev, Alexander V.
2017
Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains. Zbl 1307.47054
Sobolev, A. V.
2015
On the Schatten-von Neumann properties of some pseudo-differential operators. Zbl 1298.35260
Sobolev, Alexander V.
2014
Hardy inequalities for simply connected planar domains. Zbl 1168.26003
Laptev, Ari; Sobolev, Alexander V.
2008
Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature. Zbl 1346.81160
Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang
2016
Variation of the number of lattice points in large balls. Zbl 1163.11341
Skriganov, Maxim M.; Sobolev, Alexander V.
2005
Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states. Zbl 1377.47012
Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang
2017
On the spectrum of a limit-periodic Schrödinger operator. Zbl 1264.31006
Skriganov, M. M.; Sobolev, A. V.
2006
Absence of the singular continuous component in the spectrum of analytic direct integrals. Zbl 1084.47021
Filonov, N.; Sobolev, A. V.
2004
Quasiconformal mappings and periodic spectral problems in dimension two. Zbl 1048.30010
Shargorodsky, Eugene; Sobolev, Alexander V.
2003
Discrete spectrum asymptotics for the Schrödinger operator with a singular potential and a magnetic field. Zbl 0872.35075
Sobolev, A. V.
1996
Quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a moderate magnetic field. Zbl 0843.35024
Sobolev, A. V.
1995
The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011
Sobolev, A. V.; Yafaev, D. R.
1985
Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols. Zbl 1422.47054
Sobolev, Alexander V.
2017
Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential. Zbl 1167.35028
Rozenblum, Grigori; Sobolev, Alexander V.
2008
Asymptotic bounds for spectral bands of periodic Schrödinger operators. Zbl 1106.35040
Skriganov, M. M.; Sobolev, A. V.
2006
Integrated density of states for the periodic Schrödinger operator in dimension two. Zbl 1065.81051
Sobolev, Alexander V.
2005
Common eigenvalue problem and periodic Schrödinger operators. Zbl 0933.47032
Mikhailets, Vladimir A.; Sobolev, Alexander V.
1999
Quasi-classical asymptotics for pseudodifferential operators with discontinuous symbols: Widom’s conjecture. Zbl 1272.47064
Sobolev, A. V.
2010
Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one. Zbl 1121.35149
Sobolev, Alexander V.
2006
Formulas of Szegő type for the periodic Schrödinger operator. Zbl 06857746
Pfirsch, Bernhard; Sobolev, Alexander V.
2018
On a coefficient in trace formulas for Wiener-Hopf operators. Zbl 1375.47025
Sobolev, Alexander V.
2016
Spatially localized solutions of the Hammerstein equation with Sigmoid type of nonlinearity. Zbl 06639812
2016
On a lattice point problem arising in the spectral analysis of periodic operators. Zbl 1101.11040
Konyagin, Sergei V.; Skriganov, Maxim M.; Sobolev, Alexander V.
2003
Lieb-Thirring inequalities for the Pauli operator in three dimensions. Zbl 0889.35086
Sobolev, Alexander V.
1997
Two-term asymptotics for the sum of eigenvalues of the Schrödinger operator with Coulomb singularities in a homogeneous magnetic field. Zbl 0883.47046
Sobolev, Alexander V.
1996
Recent results on the Bethe-Sommerfeld conjecture. Zbl 1133.35074
Sobolev, Alexander V.
2007
Quasi-classical asymptotics for the Pauli operator. Zbl 0915.47052
Sobolev, Alexander V.
1998
Spectral properties of the abstract scattering matrix. Zbl 0733.47011
Sobolev, A. V.; Yafaev, D. R.
1991
On the asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator. Zbl 0724.34091
Sobolev, A. V.
1991
Corrigendum to: “Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature”. Zbl 1447.81226
Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang
2017
On the spectrum of an ”Even” periodic Schrödinger operator with a rational magnetic flux. Zbl 1323.35155
Filonov, Nikolai D.; Sobolev, Alexander V.
2015
On Hankel-type operators with discontinuous symbols in higher dimensions. Zbl 1250.47049
Sobolev, A. V.
2012
A family of anisotropic integral operators and behavior of its maximal eigenvalue. Zbl 1236.45001
Mityagin, Boris S.; Sobolev, Alexander V.
2011
Distribution of integer lattice points in a ball centred at a Diophantine point. Zbl 1252.11075
Kang, Hyunsuk; Sobolev, Alexander V.
2010
High energy asymptotics of the density of states for certain periodic pseudo-differential operators in dimension one. Zbl 1044.35039
Sobolev, Alexander V.
2003
On the Bethe-Sommerfeld conjecture. Zbl 1213.35193
Parnovski, Leonid; Sobolev, Alexander V.
2000
The asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator. Zbl 0828.34072
Sobolev, A. V.
1991
On the asymptotics of discrete spectrum for the Schrödinger operator in electric and homogeneous magnetic fields. Zbl 0718.35069
Sobolev, A. V.
1990
Quasiclassical asymptotic behavior of the scattering cross section for asymptotically homogeneous potentials. Zbl 0645.35076
Sobolev, A. V.
1988
Oscillation properties of degenerate second order differential operators. Zbl 0594.47038
Arkhipov, V. P.; Sobolev, A. V.
1984
Formulas of Szegő type for the periodic Schrödinger operator. Zbl 06857746
Pfirsch, Bernhard; Sobolev, Alexander V.
2018
Functions of self-adjoint operators in ideals of compact operators. Zbl 06775073
Sobolev, Alexander V.
2017
Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states. Zbl 1377.47012
Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang
2017
Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols. Zbl 1422.47054
Sobolev, Alexander V.
2017
Corrigendum to: “Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature”. Zbl 1447.81226
Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang
2017
Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature. Zbl 1346.81160
Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang
2016
On a coefficient in trace formulas for Wiener-Hopf operators. Zbl 1375.47025
Sobolev, Alexander V.
2016
Spatially localized solutions of the Hammerstein equation with Sigmoid type of nonlinearity. Zbl 06639812
2016
Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains. Zbl 1307.47054
Sobolev, A. V.
2015
On the spectrum of an ”Even” periodic Schrödinger operator with a rational magnetic flux. Zbl 1323.35155
Filonov, Nikolai D.; Sobolev, Alexander V.
2015
On the Schatten-von Neumann properties of some pseudo-differential operators. Zbl 1298.35260
Sobolev, Alexander V.
2014
Pseudo-differential operators with discontinuous symbols: Widom’s conjecture. Zbl 1297.47054
Sobolev, A. V.
2013
On Hankel-type operators with discontinuous symbols in higher dimensions. Zbl 1250.47049
Sobolev, A. V.
2012
A family of anisotropic integral operators and behavior of its maximal eigenvalue. Zbl 1236.45001
Mityagin, Boris S.; Sobolev, Alexander V.
2011
Bethe-Sommerfeld conjecture for periodic operators with strong perturbations. Zbl 1200.47067
Parnovski, Leonid; Sobolev, Alexander V.
2010
Quasi-classical asymptotics for pseudodifferential operators with discontinuous symbols: Widom’s conjecture. Zbl 1272.47064
Sobolev, A. V.
2010
Distribution of integer lattice points in a ball centred at a Diophantine point. Zbl 1252.11075
Kang, Hyunsuk; Sobolev, Alexander V.
2010
Hardy inequalities for simply connected planar domains. Zbl 1168.26003
Laptev, Ari; Sobolev, Alexander V.
2008
Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential. Zbl 1167.35028
Rozenblum, Grigori; Sobolev, Alexander V.
2008
On occurrence of spectral edges for periodic operators inside the Brillouin zone. Zbl 1141.82340
Harrison, Jon M.; Kuchment, P.; Sobolev, A.; Winn, B.
2007
Recent results on the Bethe-Sommerfeld conjecture. Zbl 1133.35074
Sobolev, Alexander V.
2007
On the spectrum of a limit-periodic Schrödinger operator. Zbl 1264.31006
Skriganov, M. M.; Sobolev, A. V.
2006
Asymptotic bounds for spectral bands of periodic Schrödinger operators. Zbl 1106.35040
Skriganov, M. M.; Sobolev, A. V.
2006
Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one. Zbl 1121.35149
Sobolev, Alexander V.
2006
Variation of the number of lattice points in large balls. Zbl 1163.11341
Skriganov, Maxim M.; Sobolev, Alexander V.
2005
Integrated density of states for the periodic Schrödinger operator in dimension two. Zbl 1065.81051
Sobolev, Alexander V.
2005
Generalized Hardy inequality for the magnetic Dirichlet forms. Zbl 1127.26015
Balinsky, Alexander; Laptev, Ari; Sobolev, Alexander V.
2004
Absence of the singular continuous component in the spectrum of analytic direct integrals. Zbl 1084.47021
Filonov, N.; Sobolev, A. V.
2004
Quasiconformal mappings and periodic spectral problems in dimension two. Zbl 1048.30010
Shargorodsky, Eugene; Sobolev, Alexander V.
2003
On a lattice point problem arising in the spectral analysis of periodic operators. Zbl 1101.11040
Konyagin, Sergei V.; Skriganov, Maxim M.; Sobolev, Alexander V.
2003
High energy asymptotics of the density of states for certain periodic pseudo-differential operators in dimension one. Zbl 1044.35039
Sobolev, Alexander V.
2003
Schrödinger operators on homogeneous metric trees: spectrum in gaps. Zbl 1038.81023
Sobolev, Alexander V.; Solomyak, Michael
2002
Absolute continuity in periodic waveguides. Zbl 1247.35077
Sobolev, Alexander V.; Walthoe, Jonathan
2002
On the Bethe-Sommerfeld conjecture for the polyharmonic operator. Zbl 1092.35025
Parnovski, Leonid; Sobolev, Alexander V.
2001
Lattice points, perturbation theory and the periodic polyharmonic operator. Zbl 1162.35434
Parnovski, Leonid; Sobolev, Alexander V.
2001
On the Bethe-Sommerfeld conjecture. Zbl 1213.35193
Parnovski, Leonid; Sobolev, Alexander V.
2000
Absolute continuity of the periodic magnetic Schrödinger operator. Zbl 0932.35049
Sobolev, Alexander V.
1999
Common eigenvalue problem and periodic Schrödinger operators. Zbl 0933.47032
Mikhailets, Vladimir A.; Sobolev, Alexander V.
1999
Quasi-classical asymptotics for the Pauli operator. Zbl 0915.47052
Sobolev, Alexander V.
1998
Lieb-Thirring inequalities for the Pauli operator in three dimensions. Zbl 0889.35086
Sobolev, Alexander V.
1997
On the Lieb-Thirring estimates for the Pauli operator. Zbl 0882.47056
Sobolev, Alexander V.
1996
Discrete spectrum asymptotics for the Schrödinger operator with a singular potential and a magnetic field. Zbl 0872.35075
Sobolev, A. V.
1996
Two-term asymptotics for the sum of eigenvalues of the Schrödinger operator with Coulomb singularities in a homogeneous magnetic field. Zbl 0883.47046
Sobolev, Alexander V.
1996
Quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a moderate magnetic field. Zbl 0843.35024
Sobolev, A. V.
1995
The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field. Zbl 0824.35151
Sobolev, A. V.
1994
The Efimov effect. Discrete spectrum asymptotics. Zbl 0785.35070
Sobolev, A. V.
1993
Efficient bounds for the spectral shift function. Zbl 0813.47006
Sobolev, A. V.
1993
Weyl asymptotics for the discrete spectrum of the perturbed Hill operator. Zbl 0752.34046
Sobolev, A. V.
1991
Spectral properties of the abstract scattering matrix. Zbl 0733.47011
Sobolev, A. V.; Yafaev, D. R.
1991
On the asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator. Zbl 0724.34091
Sobolev, A. V.
1991
The asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator. Zbl 0828.34072
Sobolev, A. V.
1991
On the asymptotics of discrete spectrum for the Schrödinger operator in electric and homogeneous magnetic fields. Zbl 0718.35069
Sobolev, A. V.
1990
Quasiclassical asymptotic behavior of the scattering cross section for asymptotically homogeneous potentials. Zbl 0645.35076
Sobolev, A. V.
1988
Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field, perturbed by a decreasing electric field. I. Zbl 0643.35028
Sobolev, A. V.
1986
On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Zbl 0607.35070
Sobolev, A. V.; Yafaev, D. R.
1986
The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011
Sobolev, A. V.; Yafaev, D. R.
1985
Oscillation properties of degenerate second order differential operators. Zbl 0594.47038
Arkhipov, V. P.; Sobolev, A. V.
1984
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Cited by 312 Authors

 18 Sobolev, Alexander V. 10 Muminov, Mukhiddin Èshkobilovich 10 Shterenberg, Roman G. 9 Fournais, Søren 9 Lakaev, Saidakhmat Norzhigitovich 8 Borisov, Denis Ivanovich 8 Karpeshina, Yulia E. 8 Kovařík, Hynek 8 Pushnitski, Alexander B. 7 Nazarov, Sergeĭ Aleksandrovich 7 Raikov, Georgi D. 6 Albeverio, Sergio A. 6 Ekholm, Tomas 6 Frank, Rupert L. 6 Krejčiřík, David 6 Parnovski, Leonid 6 Solovej, Jan Philip 5 Erdős, László 5 Exner, Pavel 5 Muminov, Zahriddin Ishkobilovich 5 Pankrashkin, Konstantin 5 Rasulov, Tulkin Khusenovich 5 Tamura, Hideo 5 Yafaev, Dimitri R. 4 Barbatis, Gerassimos 4 Fanelli, Luca 4 Filonov, Nikolay 4 Lee, Young-Ran 4 Nasibullin, Ramil Gaisa’evich 4 Shen, Zhongwei 4 Wang, Xueping 4 Yurko, Vjacheslav Anatoljevich 3 Craster, Richard V. 3 Delgado, Julio 3 Dimassi, Mouez 3 El Aidi, Mohammed 3 Gell-Redman, Jesse 3 Geyler, Vladimir A. 3 Gridnev, Dmitry K. 3 Guenneau, Sebastien R. L. 3 Khurramov, Abdumazhid Molikovich 3 Klopp, Frédéric 3 Kuchment, Peter A. 3 Kurasov, Pavel B. 3 Laptev, Ari 3 Lewin, Mathieu 3 Makarov, Konstantin A. 3 Nakamura, Shu 3 Ruzhansky, Michael V. 3 Sambou, Diomba 3 Schmidt, Karl Michael 3 Skriganov, Maxim M. 3 Travaglini, Giancarlo 3 Vega, Luis 3 Warzel, Simone 2 Adams, Samuel D. M. 2 Avkhadiev, Farit Gabidinovich 2 Barth, Simon 2 Berkolaiko, Gregory 2 Birman, Mikhail Shlëmovich 2 Bitter, Andreas 2 Brandolini, Luca 2 Brown, B. Malcolm 2 Brüning, Jochen 2 Bunoiu, Renata 2 Cardone, Giuseppe 2 Chen, William Wai Lim 2 Damanik, David 2 Danilov, Leonid Ivanovich 2 Dohnal, Tomáš 2 Freiling, Gerhard 2 Gesztesy, Fritz 2 Gigante, Giacomo 2 Hassell, Andrew 2 Helffer, Bernard 2 Hislop, Peter D. 2 Ingremeau, Maxime 2 Iwatsuka, Akira 2 Kachkovskii, I. O. 2 Lamberti, Pier Domenico 2 Lieb, Elliott H. 2 Mamani, Carlos R. 2 Melnikov, Yuri B. 2 Muminov, Mukhiddin I. 2 Nasrallah, Marwa 2 Pastur, Leonid Andreevich 2 Pérez-Rosés, Hebert 2 Portmann, Fabian 2 Robert, Didier 2 Rozenblum, Grigori V. 2 Schulte, Ruth 2 Seifert, Christian 2 Shirokov, Nikolaĭ Alekseevich 2 Simon, Barry 2 Spitzer, Wolfgang Ludwig 2 Stollmann, Peter 2 Sukhtaiev, Selim 2 Sukochev, Fedor Anatol’evich 2 Tsvetkova, Anna V. 2 Turuntaeva, Irina V. ...and 212 more Authors
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Cited in 101 Serials

 25 Communications in Mathematical Physics 20 Journal of Functional Analysis 19 Theoretical and Mathematical Physics 17 Journal of Mathematical Physics 13 Communications in Partial Differential Equations 10 Journal of Mathematical Analysis and Applications 9 Annales de l’Institut Henri Poincaré. Physique Théorique 8 Journal of Mathematical Sciences (New York) 7 Integral Equations and Operator Theory 7 St. Petersburg Mathematical Journal 7 Annales Henri Poincaré 6 Reviews in Mathematical Physics 5 Duke Mathematical Journal 4 Journal d’Analyse Mathématique 4 Annales de l’Institut Fourier 4 Functional Analysis and its Applications 4 Journal of Differential Equations 4 Transactions of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Physics A: Mathematical and Theoretical 4 Journal of Spectral Theory 3 Journal of Statistical Physics 3 Mathematical Notes 3 Inventiones Mathematicae 3 Journal of the London Mathematical Society. Second Series 3 Proceedings of the American Mathematical Society 3 Siberian Mathematical Journal 3 Russian Journal of Mathematical Physics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Arkiv för Matematik 2 Advances in Mathematics 2 Journal of Computational and Applied Mathematics 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Russian Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Complex Analysis and Operator Theory 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Bulletin de la Société Mathématique de France 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Numerical Analysis 1 Transactions of the Moscow Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Revista Matemática Iberoamericana 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Nonlinear Science 1 Annales Mathématiques Blaise Pascal 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Electronic Research Announcements of the American Mathematical Society 1 The Journal of Fourier Analysis and Applications 1 Documenta Mathematica 1 Abstract and Applied Analysis 1 Positivity 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Journal of Evolution Equations 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Journal of Statistical Mechanics: Theory and Experiment 1 Waves in Random and Complex Media 1 Inverse Problems in Science and Engineering 1 Proceedings of the Steklov Institute of Mathematics 1 Banach Journal of Mathematical Analysis 1 Advances in Mathematical Physics 1 Journal of Pseudo-Differential Operators and Applications 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Eurasian Mathematical Journal 1 Bulletin of Mathematical Sciences ...and 1 more Serials
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Cited in 39 Fields

 170 Partial differential equations (35-XX) 147 Quantum theory (81-XX) 116 Operator theory (47-XX) 21 Ordinary differential equations (34-XX) 19 Functional analysis (46-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Optics, electromagnetic theory (78-XX) 14 Mechanics of particles and systems (70-XX) 12 Real functions (26-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Number theory (11-XX) 8 Combinatorics (05-XX) 8 Integral equations (45-XX) 7 Difference and functional equations (39-XX) 6 Numerical analysis (65-XX) 4 Potential theory (31-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)