Edit Profile Sobolev, Alexander V. Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 57 Publications have been cited 422 times in 300 Documents Cited by ▼ Year ▼ The Efimov effect. Discrete spectrum asymptotics. Zbl 0785.35070Sobolev, A. V. 43 1993 On occurrence of spectral edges for periodic operators inside the Brillouin zone. Zbl 1141.82340Harrison, Jon M.; Kuchment, P.; Sobolev, A.; Winn, B. 21 2007 Schrödinger operators on homogeneous metric trees: spectrum in gaps. Zbl 1038.81023Sobolev, Alexander V.; Solomyak, Michael 21 2002 Absolute continuity in periodic waveguides. Zbl 1247.35077Sobolev, Alexander V.; Walthoe, Jonathan 20 2002 Absolute continuity of the periodic magnetic Schrödinger operator. Zbl 0932.35049Sobolev, Alexander V. 19 1999 Generalized Hardy inequality for the magnetic Dirichlet forms. Zbl 1127.26015Balinsky, Alexander; Laptev, Ari; Sobolev, Alexander V. 16 2004 On the Bethe-Sommerfeld conjecture for the polyharmonic operator. Zbl 1092.35025Parnovski, Leonid; Sobolev, Alexander V. 16 2001 Bethe-Sommerfeld conjecture for periodic operators with strong perturbations. Zbl 1200.47067Parnovski, Leonid; Sobolev, Alexander V. 15 2010 On the Lieb-Thirring estimates for the Pauli operator. Zbl 0882.47056Sobolev, Alexander V. 13 1996 Pseudo-differential operators with discontinuous symbols: Widom’s conjecture. Zbl 1297.47054Sobolev, A. V. 12 2013 The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field. Zbl 0824.35151Sobolev, A. V. 12 1994 Efficient bounds for the spectral shift function. Zbl 0813.47006Sobolev, A. V. 12 1993 Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field, perturbed by a decreasing electric field. I. Zbl 0643.35028Sobolev, A. V. 12 1986 Lattice points, perturbation theory and the periodic polyharmonic operator. Zbl 1162.35434Parnovski, Leonid; Sobolev, Alexander V. 11 2001 Weyl asymptotics for the discrete spectrum of the perturbed Hill operator. Zbl 0752.34046Sobolev, A. V. 11 1991 On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Zbl 0607.35070Sobolev, A. V.; Yafaev, D. R. 10 1986 Functions of self-adjoint operators in ideals of compact operators. Zbl 06775073Sobolev, Alexander V. 8 2017 Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains. Zbl 1307.47054Sobolev, A. V. 8 2015 On the Schatten-von Neumann properties of some pseudo-differential operators. Zbl 1298.35260Sobolev, Alexander V. 8 2014 Hardy inequalities for simply connected planar domains. Zbl 1168.26003Laptev, Ari; Sobolev, Alexander V. 8 2008 Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature. Zbl 1346.81160Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang 7 2016 Variation of the number of lattice points in large balls. Zbl 1163.11341Skriganov, Maxim M.; Sobolev, Alexander V. 7 2005 Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states. Zbl 1377.47012Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang 6 2017 On the spectrum of a limit-periodic Schrödinger operator. Zbl 1264.31006Skriganov, M. M.; Sobolev, A. V. 6 2006 Absence of the singular continuous component in the spectrum of analytic direct integrals. Zbl 1084.47021Filonov, N.; Sobolev, A. V. 6 2004 Quasiconformal mappings and periodic spectral problems in dimension two. Zbl 1048.30010Shargorodsky, Eugene; Sobolev, Alexander V. 6 2003 Discrete spectrum asymptotics for the Schrödinger operator with a singular potential and a magnetic field. Zbl 0872.35075Sobolev, A. V. 6 1996 Quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a moderate magnetic field. Zbl 0843.35024Sobolev, A. V. 6 1995 The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011Sobolev, A. V.; Yafaev, D. R. 6 1985 Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols. Zbl 1422.47054Sobolev, Alexander V. 5 2017 Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential. Zbl 1167.35028Rozenblum, Grigori; Sobolev, Alexander V. 5 2008 Asymptotic bounds for spectral bands of periodic Schrödinger operators. Zbl 1106.35040Skriganov, M. M.; Sobolev, A. V. 5 2006 Integrated density of states for the periodic Schrödinger operator in dimension two. Zbl 1065.81051Sobolev, Alexander V. 5 2005 Common eigenvalue problem and periodic Schrödinger operators. Zbl 0933.47032Mikhailets, Vladimir A.; Sobolev, Alexander V. 5 1999 Quasi-classical asymptotics for pseudodifferential operators with discontinuous symbols: Widom’s conjecture. Zbl 1272.47064Sobolev, A. V. 4 2010 Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one. Zbl 1121.35149Sobolev, Alexander V. 4 2006 Formulas of Szegő type for the periodic Schrödinger operator. Zbl 06857746Pfirsch, Bernhard; Sobolev, Alexander V. 3 2018 On a coefficient in trace formulas for Wiener-Hopf operators. Zbl 1375.47025Sobolev, Alexander V. 3 2016 Spatially localized solutions of the Hammerstein equation with Sigmoid type of nonlinearity. Zbl 06639812Oleynik, Anna; Ponosov, Arcady; Kostrykin, Vadim; Sobolev, Alexander V. 3 2016 On a lattice point problem arising in the spectral analysis of periodic operators. Zbl 1101.11040Konyagin, Sergei V.; Skriganov, Maxim M.; Sobolev, Alexander V. 3 2003 Lieb-Thirring inequalities for the Pauli operator in three dimensions. Zbl 0889.35086Sobolev, Alexander V. 3 1997 Two-term asymptotics for the sum of eigenvalues of the Schrödinger operator with Coulomb singularities in a homogeneous magnetic field. Zbl 0883.47046Sobolev, Alexander V. 3 1996 Recent results on the Bethe-Sommerfeld conjecture. Zbl 1133.35074Sobolev, Alexander V. 2 2007 Quasi-classical asymptotics for the Pauli operator. Zbl 0915.47052Sobolev, Alexander V. 2 1998 Spectral properties of the abstract scattering matrix. Zbl 0733.47011Sobolev, A. V.; Yafaev, D. R. 2 1991 On the asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator. Zbl 0724.34091Sobolev, A. V. 2 1991 Corrigendum to: “Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature”. Zbl 1447.81226Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang 1 2017 On the spectrum of an ”Even” periodic Schrödinger operator with a rational magnetic flux. Zbl 1323.35155Filonov, Nikolai D.; Sobolev, Alexander V. 1 2015 On Hankel-type operators with discontinuous symbols in higher dimensions. Zbl 1250.47049Sobolev, A. V. 1 2012 A family of anisotropic integral operators and behavior of its maximal eigenvalue. Zbl 1236.45001Mityagin, Boris S.; Sobolev, Alexander V. 1 2011 Distribution of integer lattice points in a ball centred at a Diophantine point. Zbl 1252.11075Kang, Hyunsuk; Sobolev, Alexander V. 1 2010 High energy asymptotics of the density of states for certain periodic pseudo-differential operators in dimension one. Zbl 1044.35039Sobolev, Alexander V. 1 2003 On the Bethe-Sommerfeld conjecture. Zbl 1213.35193Parnovski, Leonid; Sobolev, Alexander V. 1 2000 The asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator. Zbl 0828.34072Sobolev, A. V. 1 1991 On the asymptotics of discrete spectrum for the Schrödinger operator in electric and homogeneous magnetic fields. Zbl 0718.35069Sobolev, A. V. 1 1990 Quasiclassical asymptotic behavior of the scattering cross section for asymptotically homogeneous potentials. Zbl 0645.35076Sobolev, A. V. 1 1988 Oscillation properties of degenerate second order differential operators. Zbl 0594.47038Arkhipov, V. P.; Sobolev, A. V. 1 1984 Formulas of Szegő type for the periodic Schrödinger operator. Zbl 06857746Pfirsch, Bernhard; Sobolev, Alexander V. 3 2018 Functions of self-adjoint operators in ideals of compact operators. Zbl 06775073Sobolev, Alexander V. 8 2017 Trace formulas for Wiener-Hopf operators with applications to entropies of free fermionic equilibrium states. Zbl 1377.47012Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang 6 2017 Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth versus non-smooth symbols. Zbl 1422.47054Sobolev, Alexander V. 5 2017 Corrigendum to: “Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature”. Zbl 1447.81226Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang 1 2017 Large-scale behaviour of local and entanglement entropy of the free Fermi gas at any temperature. Zbl 1346.81160Leschke, Hajo; Sobolev, Alexander V.; Spitzer, Wolfgang 7 2016 On a coefficient in trace formulas for Wiener-Hopf operators. Zbl 1375.47025Sobolev, Alexander V. 3 2016 Spatially localized solutions of the Hammerstein equation with Sigmoid type of nonlinearity. Zbl 06639812Oleynik, Anna; Ponosov, Arcady; Kostrykin, Vadim; Sobolev, Alexander V. 3 2016 Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains. Zbl 1307.47054Sobolev, A. V. 8 2015 On the spectrum of an ”Even” periodic Schrödinger operator with a rational magnetic flux. Zbl 1323.35155Filonov, Nikolai D.; Sobolev, Alexander V. 1 2015 On the Schatten-von Neumann properties of some pseudo-differential operators. Zbl 1298.35260Sobolev, Alexander V. 8 2014 Pseudo-differential operators with discontinuous symbols: Widom’s conjecture. Zbl 1297.47054Sobolev, A. V. 12 2013 On Hankel-type operators with discontinuous symbols in higher dimensions. Zbl 1250.47049Sobolev, A. V. 1 2012 A family of anisotropic integral operators and behavior of its maximal eigenvalue. Zbl 1236.45001Mityagin, Boris S.; Sobolev, Alexander V. 1 2011 Bethe-Sommerfeld conjecture for periodic operators with strong perturbations. Zbl 1200.47067Parnovski, Leonid; Sobolev, Alexander V. 15 2010 Quasi-classical asymptotics for pseudodifferential operators with discontinuous symbols: Widom’s conjecture. Zbl 1272.47064Sobolev, A. V. 4 2010 Distribution of integer lattice points in a ball centred at a Diophantine point. Zbl 1252.11075Kang, Hyunsuk; Sobolev, Alexander V. 1 2010 Hardy inequalities for simply connected planar domains. Zbl 1168.26003Laptev, Ari; Sobolev, Alexander V. 8 2008 Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential. Zbl 1167.35028Rozenblum, Grigori; Sobolev, Alexander V. 5 2008 On occurrence of spectral edges for periodic operators inside the Brillouin zone. Zbl 1141.82340Harrison, Jon M.; Kuchment, P.; Sobolev, A.; Winn, B. 21 2007 Recent results on the Bethe-Sommerfeld conjecture. Zbl 1133.35074Sobolev, Alexander V. 2 2007 On the spectrum of a limit-periodic Schrödinger operator. Zbl 1264.31006Skriganov, M. M.; Sobolev, A. V. 6 2006 Asymptotic bounds for spectral bands of periodic Schrödinger operators. Zbl 1106.35040Skriganov, M. M.; Sobolev, A. V. 5 2006 Asymptotics of the integrated density of states for periodic elliptic pseudo-differential operators in dimension one. Zbl 1121.35149Sobolev, Alexander V. 4 2006 Variation of the number of lattice points in large balls. Zbl 1163.11341Skriganov, Maxim M.; Sobolev, Alexander V. 7 2005 Integrated density of states for the periodic Schrödinger operator in dimension two. Zbl 1065.81051Sobolev, Alexander V. 5 2005 Generalized Hardy inequality for the magnetic Dirichlet forms. Zbl 1127.26015Balinsky, Alexander; Laptev, Ari; Sobolev, Alexander V. 16 2004 Absence of the singular continuous component in the spectrum of analytic direct integrals. Zbl 1084.47021Filonov, N.; Sobolev, A. V. 6 2004 Quasiconformal mappings and periodic spectral problems in dimension two. Zbl 1048.30010Shargorodsky, Eugene; Sobolev, Alexander V. 6 2003 On a lattice point problem arising in the spectral analysis of periodic operators. Zbl 1101.11040Konyagin, Sergei V.; Skriganov, Maxim M.; Sobolev, Alexander V. 3 2003 High energy asymptotics of the density of states for certain periodic pseudo-differential operators in dimension one. Zbl 1044.35039Sobolev, Alexander V. 1 2003 Schrödinger operators on homogeneous metric trees: spectrum in gaps. Zbl 1038.81023Sobolev, Alexander V.; Solomyak, Michael 21 2002 Absolute continuity in periodic waveguides. Zbl 1247.35077Sobolev, Alexander V.; Walthoe, Jonathan 20 2002 On the Bethe-Sommerfeld conjecture for the polyharmonic operator. Zbl 1092.35025Parnovski, Leonid; Sobolev, Alexander V. 16 2001 Lattice points, perturbation theory and the periodic polyharmonic operator. Zbl 1162.35434Parnovski, Leonid; Sobolev, Alexander V. 11 2001 On the Bethe-Sommerfeld conjecture. Zbl 1213.35193Parnovski, Leonid; Sobolev, Alexander V. 1 2000 Absolute continuity of the periodic magnetic Schrödinger operator. Zbl 0932.35049Sobolev, Alexander V. 19 1999 Common eigenvalue problem and periodic Schrödinger operators. Zbl 0933.47032Mikhailets, Vladimir A.; Sobolev, Alexander V. 5 1999 Quasi-classical asymptotics for the Pauli operator. Zbl 0915.47052Sobolev, Alexander V. 2 1998 Lieb-Thirring inequalities for the Pauli operator in three dimensions. Zbl 0889.35086Sobolev, Alexander V. 3 1997 On the Lieb-Thirring estimates for the Pauli operator. Zbl 0882.47056Sobolev, Alexander V. 13 1996 Discrete spectrum asymptotics for the Schrödinger operator with a singular potential and a magnetic field. Zbl 0872.35075Sobolev, A. V. 6 1996 Two-term asymptotics for the sum of eigenvalues of the Schrödinger operator with Coulomb singularities in a homogeneous magnetic field. Zbl 0883.47046Sobolev, Alexander V. 3 1996 Quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a moderate magnetic field. Zbl 0843.35024Sobolev, A. V. 6 1995 The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field. Zbl 0824.35151Sobolev, A. V. 12 1994 The Efimov effect. Discrete spectrum asymptotics. Zbl 0785.35070Sobolev, A. V. 43 1993 Efficient bounds for the spectral shift function. Zbl 0813.47006Sobolev, A. V. 12 1993 Weyl asymptotics for the discrete spectrum of the perturbed Hill operator. Zbl 0752.34046Sobolev, A. V. 11 1991 Spectral properties of the abstract scattering matrix. Zbl 0733.47011Sobolev, A. V.; Yafaev, D. R. 2 1991 On the asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator. Zbl 0724.34091Sobolev, A. V. 2 1991 The asymptotic behavior of the discrete spectrum in the gaps of the continuous spectrum of a perturbed Hill operator. Zbl 0828.34072Sobolev, A. V. 1 1991 On the asymptotics of discrete spectrum for the Schrödinger operator in electric and homogeneous magnetic fields. Zbl 0718.35069Sobolev, A. V. 1 1990 Quasiclassical asymptotic behavior of the scattering cross section for asymptotically homogeneous potentials. Zbl 0645.35076Sobolev, A. V. 1 1988 Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field, perturbed by a decreasing electric field. I. Zbl 0643.35028Sobolev, A. V. 12 1986 On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Zbl 0607.35070Sobolev, A. V.; Yafaev, D. R. 10 1986 The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011Sobolev, A. V.; Yafaev, D. R. 6 1985 Oscillation properties of degenerate second order differential operators. Zbl 0594.47038Arkhipov, V. P.; Sobolev, A. V. 1 1984 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year