Edit Profile (opens in new tab) Yafaev, Dimitri R. Co-Author Distance Author ID: yafaev.dimitri-r Published as: Yafaev, D. R.; Yafaev, D.; Yafaev, Dmitri; Yafaev, Dimitri; Yafaev, Dimitri R.; Yafaev, Dmitri R.; Jafaev, D. R. more...less Further Spellings: Yafaev, Dmitriĭ Rauèl’evich; Яфаев Дмитрий Рауэльевич Homepage: https://perso.univ-rennes1.fr/dimitri.yafaev/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr Documents Indexed: 182 Publications since 1970, including 4 Books and 4 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 109 Reviews Co-Authors: 39 Co-Authors with 55 Joint Publications 1,600 Co-Co-Authors all top 5 Co-Authors 129 single-authored 10 Sobolev, Alexander V. 9 Pushnitski, Alexander B. 8 Birman, Mikhail Shlëmovich 6 Solomyak, Mikhaĭl Zakharovich 5 Buslaev, Vladimir Savel’evich 5 Deĭch, V. G. 5 Korotyaev, Evgeny L. 5 Suslina, Tat’yana Aleksandrovna 3 Faddeev, Lyudvig Dmitrievich 3 Laptev, Ari 3 Sayapova, M. R. 3 Vershik, Anatoliĭ Moiseevich 2 Gâtel, Yannick 2 Gindikin, Simon Grigorevich 2 Roux, Philippe 2 Ural’tseva, Nina Nikolaevna 2 Weder, Ricardo A. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Fedotov, Alexander 1 Gel’fand, Israil’ Moiseevich 1 Glushkin, E. D. 1 Khavin, Viktor Petrovich 1 Herrero, Domingo Antonio 1 Its, Alexander Rudolfovich 1 Kislyakov, Sergeĭ Vital’evich 1 Kozlov, Vladimir A. 1 Ladyzhenskaya, Ol’ga Aleksandrovna 1 Lerner, Nicolas 1 Lerner, W. 1 Makarov, Boris Mikhaĭlovich 1 Marchenko, Vladimir Aleksandrovich 1 Mityagin, Boris Samuilovich 1 Nevai, Paul G. 1 Nikol’skiĭ, Nikolaĭ Kapitonovich 1 Östensson, Jörgen 1 Pastur, Leonid Andreevich 1 Plamenevskiĭ, Boris Alekseevich 1 Rozenblum, Grigori V. 1 Tarasov, Vitaly Olegovich all top 5 Serials 12 St. Petersburg Mathematical Journal 11 Journal of Soviet Mathematics 9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 8 Functional Analysis and its Applications 7 Journal of Functional Analysis 6 Integral Equations and Operator Theory 6 Proceedings of the Steklov Institute of Mathematics 5 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Communications in Mathematical Physics 4 Journal of Operator Theory 4 Mathematics of the USSR, Sbornik 3 Russian Mathematical Surveys 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Soviet Mathematics. Doklady 3 Journal of Physics A: Mathematical and General 3 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Teoreticheskaya i Matematicheskaya Fizika 2 Theoretical and Mathematical Physics 2 Mathematics of the USSR. Izvestiya 2 Soviet Physics. Doklady 2 Séminaire Équations aux Dérivées Partielles 2 Opuscula Mathematica 2 Analysis & PDE 2 Journal of Spectral Theory 2 Bulletin of Mathematical Sciences 2 Translations. Series 2. American Mathematical Society 1 Inverse Problems 1 Matematicheskie Zametki 1 Arkiv för Matematik 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Gazette des Mathématiciens 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the London Mathematical Society. Third Series 1 Revista de la Unión Matemática Argentina 1 Selecta Mathematica Sovietica 1 Constructive Approximation 1 Algebra i Analiz 1 IMRN. International Mathematics Research Notices 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Documenta Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Annales Henri Poincaré 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Lecture Notes in Mathematics 1 Mathematical Surveys and Monographs 1 Problemy Matematicheskoĭ Fiziki 1 Translations of Mathematical Monographs 1 Journal of Physics A: Mathematical and Theoretical 1 Inverse Problems and Imaging all top 5 Fields 115 Operator theory (47-XX) 98 Partial differential equations (35-XX) 79 Quantum theory (81-XX) 12 Difference and functional equations (39-XX) 11 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 7 History and biography (01-XX) 4 Functional analysis (46-XX) 3 Potential theory (31-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 133 Publications have been cited 1,276 times in 870 Documents Cited by ▼ Year ▼ Mathematical scattering theory. General theory. Zbl 0761.47001 Yafaev, D. R. 256 1992 Sharp constants in the Hardy-Rellich inequalities. Zbl 0981.26016 Yafaev, D. 114 1999 Mathematical scattering theory. Analytic theory. Zbl 1197.35006 Yafaev, D. R. 109 2010 On the theory of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0342.35041 Yafaev, D. R. 63 1976 Scattering theory: some old and new problems. Zbl 0951.35003 Yafaev, Dmitri 53 2000 The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013 Birman, M. Sh.; Yafaev, D. R. 37 1992 The low energy scattering for slowly decreasing potentials. Zbl 0509.35065 Yafaev, D. R. 37 1982 Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. Zbl 0781.35048 Yafaev, D. 28 1993 On a zero-range interaction of a quantum particle with the vacuum. Zbl 0751.47038 Yafaev, D. R. 17 1992 The scattering amplitude for the Schrödinger equation with a long-range potential. Zbl 0888.35089 Yafaev, D. 16 1998 On the mathematical theory of the Aharonov-Bohm effect. Zbl 1066.81550 Roux, Ph.; Yafaev, D. 15 2002 On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity. Zbl 1112.35052 Weder, Ricardo; Yafaev, Dimitri 14 2005 The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential. Zbl 1062.81144 Roux, Ph.; Yafaev, D. 14 2003 A trace formula for the Dirac operator. Zbl 1114.47011 Yafaev, D. R. 13 2005 On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050 Gâtel, Yannick; Yafaev, Dimitri 12 1999 Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062 Birman, M. Sh.; Yafaev, D. R. 12 1984 Wave operators for the Schrödinger equation. Zbl 0467.35076 Yafaev, D. R. 11 1981 The evolution operator for time-dependent potentials of zero radius. Zbl 0599.35035 Sayapova, M. R.; Yafaev, D. R. 11 1984 On the finiteness of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0412.35031 Jafaev, D. R. 10 1976 On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Zbl 0607.35070 Sobolev, A. V.; Yafaev, D. R. 10 1986 The eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation. Zbl 0608.35054 Yafaev, D. R. 10 1986 The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited. Zbl 1248.47015 Yafaev, D. R. 10 2011 A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019 Yafaev, D. R. 10 2010 On the point spectrum in the quantum-mechanical many-body problem. Zbl 0366.35065 Yafaev, D. R. 9 1977 Asymptotic behavior of eigenvalues of Hankel operators. Zbl 1338.47025 Pushnitski, Alexander; Yafaev, Dmitri 9 2015 On the classical and quantum Coulomb scattering. Zbl 0926.35107 Yafaev, D. 9 1997 Unbounded Hankel operators and moment problems. Zbl 1348.47004 Yafaev, D. R. 9 2016 On spectral properties of translationally invariant magnetic Schrödinger operators. Zbl 1140.81394 Yafaev, Dimitri 9 2008 High-energy and smoothness asymptotic expansion of the scattering amplitude. Zbl 1045.35059 Yafaev, D. 9 2003 Scattering matrix for magnetic potentials with Coulomb decay at infinity. Zbl 1073.47506 Yafaev, D. R. 9 2003 Scattering theory for the Dirac operator with a long-range electromagnetic potential. Zbl 0996.35056 Gâtel, Y.; Yafaev, D. 8 2001 A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660 Yafaev, D. R. 8 2017 Criteria for Hankel operators to be sign-definite. Zbl 1312.47035 Yafaev, Dimitri R. 8 2015 Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Zbl 1217.47023 Pushnitski, Alexander; Yafaev, Dmitri 8 2010 Spectral theory of piecewise continuous functions of self-adjoint operators. Zbl 1296.47009 Pushnitski, Alexander; Yafaev, Dmitri 7 2014 Quasi-Carleman operators and their spectral properties. Zbl 1326.47009 Yafaev, D. R. 7 2015 Spectral properties of the scattering matrix. Zbl 0819.47009 Birman, M. Sh.; Yafaev, D. R. 7 1992 Scattering by magnetic fields. Zbl 1110.47065 Yafaev, D. R. 7 2006 The virtual level of the Schrödinger equation. Zbl 0401.35038 Yafaev, D. R. 7 1979 The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064 Birman, M. Sh.; Yafaev, D. R. 7 1981 The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. Zbl 1222.47072 Yafaev, D. R. 7 2007 A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114 Yafaev, D. R. 7 2019 On the virtual state of Schrödinger equation. Zbl 0347.35028 Yafaev, D. R. 6 1975 Sharp estimates for singular values of Hankel operators. Zbl 1329.47031 Pushnitski, Alexander; Yafaev, Dmitri 6 2015 The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011 Sobolev, A. V.; Yafaev, D. R. 6 1985 On the break-down of completeness of wave operators in potential scattering. Zbl 0401.47006 Yafaev, D. R. 6 1979 A trace formula for differential operators of arbitrary order. Zbl 1263.34120 Östensson, J.; Yafaev, D. R. 6 2012 Quasi-diagonalization of Hankel operators. Zbl 06822165 Yafaev, D. R. 5 2017 Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013 Pushnitski, Alexander; Yafaev, Dmitri 5 2017 On the violation of unitarity in time-dependent potential scattering. Zbl 0435.35064 Yafaev, D. R. 5 1978 Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088 Birman, M. Sh.; Yafaev, D. R. 5 1994 Remarks on the spectral theory for the multiparticle-type Schrödinger operator. Zbl 0582.35034 Yafaev, D. R. 5 1985 Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1405.33014 Yafaev, D. R. 5 2018 New channels in three-body long-range scattering. Zbl 0876.35081 Yafaev, D. 5 1994 Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians. Zbl 0823.47010 Yafaev, D. 5 1995 Negative spectrum of the Schrödinger operational equation. Zbl 0206.44603 Yafaev, D. R. 5 1970 On solutions of the Schrödinger equation with radiation conditions at infinity. Zbl 0753.35022 Yafaev, D. R. 5 1991 Passage through a potential barrier and multiple wells. Zbl 06852219 Yafaev, D. R. 4 2018 Wave operators for the Schrödinger equation. Zbl 0458.35078 Yafaev, D. R. 4 1980 The discrete spectrum in the singular Friedrichs model. Zbl 0923.35111 Yafaev, D. 4 1999 On finite rank Hankel operators. Zbl 1320.47031 Yafaev, D. R. 4 2015 Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040 Pushnitski, Alexander; Yafaev, Dmitri 4 2015 Scattering theory for time-dependent zero-range potentials. Zbl 0582.47012 Yafaev, D. R. 4 1984 Diagonalizations of two classes of unbounded Hankel operators. Zbl 1304.47040 Yafaev, D. R. 4 2014 A general scheme in the stationary scattering theory. Zbl 0818.35073 Birman, M. Sh.; Yafaev, D. R. 4 1993 Spectral and scattering theory of fourth order differential operators. Zbl 1170.34058 Yafaev, D. R. 4 2008 Localization principle for compact Hankel operators. Zbl 1338.47026 Pushnitski, Alexander; Yafaev, Dmitri 4 2016 A particle in a magnetic field of an infinite rectilinear current. Zbl 1033.81030 Yafaev, D. 4 2003 On the proof of Enss of asymptotic completeness in potential scattering theory. Zbl 0438.47012 Yafaev, D. R. 3 1979 On the finiteness of discrete spectrum of the three-particle Schrödinger operator. Zbl 0322.35022 Yafaev, D. R. 3 1975 High energy asymptotics of the scattering amplitude for the Schrödinger equation. Zbl 1199.81037 Yafaev, D. 3 2002 On semibounded Wiener-Hopf operators. Zbl 06774764 Yafaev, D. R. 3 2017 Resonance scattering on a negative potential. Zbl 0582.35109 Yafaev, D. R. 3 1986 Theory of potential scattering, taking into account spatial anisotropy. Zbl 0596.47006 Deĭch, V. G.; Korotyaev, E. L.; Yafaev, D. R. 3 1986 The nuclear method in potential scattering theory. Zbl 0734.47003 Birman, M. Sh.; Yafaev, D. R. 3 1991 Spectral asymptotics for compact self-adjoint Hankel operators. Zbl 1375.47024 Pushnitski, Alexander; Yafaev, Dmitri 3 2016 Spectral and scattering theory for perturbations of the Carleman operator. Zbl 1320.47005 Yafaev, D. R. 3 2014 Eigenfunctions of the continuous spectrum for the \(N\)-particle Schrödinger operator. Zbl 0814.35088 Yafaev, D. 3 1994 Scattering theory: Some old and new problems. Zbl 0896.35097 Yafaev, D. 3 1998 Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0492.35059 Yafaev, D. R. 3 1982 Spectral properties of the Schrödinger operator with a potential having a slow falloff. Zbl 0518.47032 Yafaev, D. R. 3 1983 Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0522.35070 Yafaev, D. R. 3 1983 Correction to: Unbounded Hankel operators and moment problems. Zbl 1443.47004 Yafaev, D. R. 3 2019 Semiclassical asymptotic behavior of orthogonal polynomials. Zbl 1460.33014 Yafaev, D. R. 3 2020 Asymptotic behavior of orthogonal polynomials without the Carleman condition. Zbl 1448.33011 Yafaev, D. R. 3 2020 Asymptotic completeness for the multidimensional time-dependent Schrödinger equation. Zbl 0455.35048 Yafaev, D. R. 2 1980 On the asymptotic behavior of solutions of the time-dependent Schrödinger equation. Zbl 0462.35008 Yafaev, D. R. 2 1981 On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. Zbl 1026.01503 Buslaev, V.; Solomyak, M.; Yafaev, D. 2 1999 Bemerkung über die Streutheorie für einen gestörten polyharmonischen Operator. Zbl 0302.47007 Yafaev, D. R. 2 1974 A remark concerning the theory of scattering for a perturbed polyharmonic operator. Zbl 0309.47010 Yafaev, D. R. 2 1974 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 Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1397.81067 Yafaev, D. R. 2 2018 Toeplitz versus Hankel: semibounded operators. Zbl 06963045 Yafaev, Dmitri R. 2 2018 On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section. Zbl 0698.35116 Yafaev, D. R. 2 1989 On the asymptotics of scattering phases for the Schrödinger equation. Zbl 0723.35062 Yafaev, D. R. 2 1990 Spectral properties of the abstract scattering matrix. Zbl 0733.47011 Sobolev, A. V.; Yafaev, D. R. 2 1991 Spectral and scattering theory for differential and Hankel operators. Zbl 1360.34172 Yafaev, D. R. 2 2017 Hankel and Toeplitz operators: continuous and discrete representations. Zbl 1450.47016 Yafaev, Dmitri R. 2 2017 Radiation conditions and scattering theory for three-particle Hamiltonians. Zbl 0795.58009 Yafaev, D. 2 1992 Trace theorems for pseudo-differential operators. Zbl 0908.35145 Lerner, W.; Yafaev, D. 2 1998 Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials. Zbl 1527.33007 Yafaev, D. R. 1 2022 Asymptotic behavior of orthogonal polynomials. Singular critical case. Zbl 1457.33004 Yafaev, D. R. 2 2021 Universal relations in asymptotic formulas for orthogonal polynomials. Zbl 07427828 Yafaev, D. R. 1 2021 Scattering theory for Laguerre operators. Zbl 1484.33018 Yafaev, Dmitri 1 2021 Semiclassical asymptotic behavior of orthogonal polynomials. Zbl 1460.33014 Yafaev, D. R. 3 2020 Asymptotic behavior of orthogonal polynomials without the Carleman condition. Zbl 1448.33011 Yafaev, D. R. 3 2020 On spectral analysis of self-adjoint Toeplitz operators. Zbl 07340504 Sobolev, Alexander V.; Yafaev, Dmitri 1 2020 A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114 Yafaev, D. R. 7 2019 Correction to: Unbounded Hankel operators and moment problems. Zbl 1443.47004 Yafaev, D. R. 3 2019 Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1405.33014 Yafaev, D. R. 5 2018 Passage through a potential barrier and multiple wells. Zbl 06852219 Yafaev, D. R. 4 2018 Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1397.81067 Yafaev, D. R. 2 2018 Toeplitz versus Hankel: semibounded operators. Zbl 06963045 Yafaev, Dmitri R. 2 2018 A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660 Yafaev, D. R. 8 2017 Quasi-diagonalization of Hankel operators. Zbl 06822165 Yafaev, D. R. 5 2017 Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013 Pushnitski, Alexander; Yafaev, Dmitri 5 2017 On semibounded Wiener-Hopf operators. Zbl 06774764 Yafaev, D. R. 3 2017 Spectral and scattering theory for differential and Hankel operators. Zbl 1360.34172 Yafaev, D. R. 2 2017 Hankel and Toeplitz operators: continuous and discrete representations. Zbl 1450.47016 Yafaev, Dmitri R. 2 2017 On semibounded Toeplitz operators. Zbl 1399.47010 Yafaev, D. R. 1 2017 Unbounded Hankel operators and moment problems. Zbl 1348.47004 Yafaev, D. R. 9 2016 Localization principle for compact Hankel operators. Zbl 1338.47026 Pushnitski, Alexander; Yafaev, Dmitri 4 2016 Spectral asymptotics for compact self-adjoint Hankel operators. Zbl 1375.47024 Pushnitski, Alexander; Yafaev, Dmitri 3 2016 Asymptotic behavior of eigenvalues of Hankel operators. Zbl 1338.47025 Pushnitski, Alexander; Yafaev, Dmitri 9 2015 Criteria for Hankel operators to be sign-definite. Zbl 1312.47035 Yafaev, Dimitri R. 8 2015 Quasi-Carleman operators and their spectral properties. Zbl 1326.47009 Yafaev, D. R. 7 2015 Sharp estimates for singular values of Hankel operators. Zbl 1329.47031 Pushnitski, Alexander; Yafaev, Dmitri 6 2015 On finite rank Hankel operators. Zbl 1320.47031 Yafaev, D. R. 4 2015 Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040 Pushnitski, Alexander; Yafaev, Dmitri 4 2015 Spectral theory of piecewise continuous functions of self-adjoint operators. Zbl 1296.47009 Pushnitski, Alexander; Yafaev, Dmitri 7 2014 Diagonalizations of two classes of unbounded Hankel operators. Zbl 1304.47040 Yafaev, D. R. 4 2014 Spectral and scattering theory for perturbations of the Carleman operator. Zbl 1320.47005 Yafaev, D. R. 3 2014 A multichannel scheme in smooth scattering theory. Zbl 1328.47014 Pushnitski, Alexander; Yafaev, Dmitri 1 2013 A trace formula for differential operators of arbitrary order. Zbl 1263.34120 Östensson, J.; Yafaev, D. R. 6 2012 On the mathematical work of M. Sh. Birman. Zbl 1236.01029 Solomyak, M. Z.; Suslina, T. A.; Yafaev, D. R. 1 2012 The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited. Zbl 1248.47015 Yafaev, D. R. 10 2011 Mathematical scattering theory. Analytic theory. Zbl 1197.35006 Yafaev, D. R. 109 2010 A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019 Yafaev, D. R. 10 2010 Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Zbl 1217.47023 Pushnitski, Alexander; Yafaev, Dmitri 8 2010 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 On spectral properties of translationally invariant magnetic Schrödinger operators. Zbl 1140.81394 Yafaev, Dimitri 9 2008 Spectral and scattering theory of fourth order differential operators. Zbl 1170.34058 Yafaev, D. R. 4 2008 Spectral theory of differential operators. M. Sh. Birman 80th anniversary collection. Zbl 1152.47002 1 2008 The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. Zbl 1222.47072 Yafaev, D. R. 7 2007 Inverse scattering at a fixed energy for long-range potentials. Zbl 1125.35115 Weder, Ricardo; Yafaev, Dimitri 1 2007 Scattering by magnetic fields. Zbl 1110.47065 Yafaev, D. R. 7 2006 On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity. Zbl 1112.35052 Weder, Ricardo; Yafaev, Dimitri 14 2005 A trace formula for the Dirac operator. Zbl 1114.47011 Yafaev, D. R. 13 2005 Trace-class approach in scattering problems for perturbations of media. Zbl 1199.47056 Yafaev, D. R. 1 2005 Mikhail Shlemovich Birman (on the occasion of his 75th birthday). Zbl 1061.01500 Buslaev, V. S.; Solomyak, M. Z.; Yafaev, D. R. 1 2004 The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential. Zbl 1062.81144 Roux, Ph.; Yafaev, D. 14 2003 High-energy and smoothness asymptotic expansion of the scattering amplitude. Zbl 1045.35059 Yafaev, D. 9 2003 Scattering matrix for magnetic potentials with Coulomb decay at infinity. Zbl 1073.47506 Yafaev, D. R. 9 2003 A particle in a magnetic field of an infinite rectilinear current. Zbl 1033.81030 Yafaev, D. 4 2003 On the mathematical theory of the Aharonov-Bohm effect. Zbl 1066.81550 Roux, Ph.; Yafaev, D. 15 2002 High energy asymptotics of the scattering amplitude for the Schrödinger equation. Zbl 1199.81037 Yafaev, D. 3 2002 Scattering theory for the Dirac operator with a long-range electromagnetic potential. Zbl 0996.35056 Gâtel, Y.; Yafaev, D. 8 2001 Scattering theory: some old and new problems. Zbl 0951.35003 Yafaev, Dmitri 53 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 Sharp constants in the Hardy-Rellich inequalities. Zbl 0981.26016 Yafaev, D. 114 1999 On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050 Gâtel, Yannick; Yafaev, Dimitri 12 1999 The discrete spectrum in the singular Friedrichs model. Zbl 0923.35111 Yafaev, D. 4 1999 On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. Zbl 1026.01503 Buslaev, V.; Solomyak, M.; Yafaev, D. 2 1999 Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011 1 1999 A class of pseudodifferential operators with oscillating symbol. Zbl 0940.35217 Yafaev, D. R. 1 1999 The scattering amplitude for the Schrödinger equation with a long-range potential. Zbl 0888.35089 Yafaev, D. 16 1998 Scattering theory: Some old and new problems. Zbl 0896.35097 Yafaev, D. 3 1998 Trace theorems for pseudo-differential operators. Zbl 0908.35145 Lerner, W.; Yafaev, D. 2 1998 On the classical and quantum Coulomb scattering. Zbl 0926.35107 Yafaev, D. 9 1997 New channels in two-body long-range scattering. Zbl 0854.35080 Yafaev, D. R. 1 1996 New channels of scattering for three-body quantum systems with long-range potentials. Zbl 0859.35084 Yafaev, Dimitri 1 1996 Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians. Zbl 0823.47010 Yafaev, D. 5 1995 Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088 Birman, M. Sh.; Yafaev, D. R. 5 1994 New channels in three-body long-range scattering. Zbl 0876.35081 Yafaev, D. 5 1994 Eigenfunctions of the continuous spectrum for the \(N\)-particle Schrödinger operator. Zbl 0814.35088 Yafaev, D. 3 1994 Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. Zbl 0781.35048 Yafaev, D. 28 1993 A general scheme in the stationary scattering theory. Zbl 0818.35073 Birman, M. Sh.; Yafaev, D. R. 4 1993 Mathematical scattering theory. General theory. Zbl 0761.47001 Yafaev, D. R. 256 1992 The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013 Birman, M. Sh.; Yafaev, D. R. 37 1992 On a zero-range interaction of a quantum particle with the vacuum. Zbl 0751.47038 Yafaev, D. R. 17 1992 Spectral properties of the scattering matrix. Zbl 0819.47009 Birman, M. Sh.; Yafaev, D. R. 7 1992 Radiation conditions and scattering theory for three-particle Hamiltonians. Zbl 0795.58009 Yafaev, D. 2 1992 Radiation conditions and scattering theory for \(N\)-particle quantum systems. Zbl 0771.35041 Yafaev, D. 1 1992 Radiation conditions and scattering theory for \(N\)-particle Schrödinger operators. Zbl 0784.47017 Yafaev, D. 1 1992 On the scattering matrix for perturbations of constant sign. Zbl 0780.47011 Yafaev, D. R. 1 1992 On solutions of the Schrödinger equation with radiation conditions at infinity. Zbl 0753.35022 Yafaev, D. R. 5 1991 The nuclear method in potential scattering theory. Zbl 0734.47003 Birman, M. Sh.; Yafaev, D. R. 3 1991 Spectral properties of the abstract scattering matrix. Zbl 0733.47011 Sobolev, A. V.; Yafaev, D. R. 2 1991 On the asymptotics of scattering phases for the Schrödinger equation. Zbl 0723.35062 Yafaev, D. R. 2 1990 On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section. Zbl 0698.35116 Yafaev, D. R. 2 1989 The eikonal approximation for the Schrödinger equation. Zbl 0693.35125 Yafaev, D. R. 2 1989 On the nuclear method in the theory of potential scattering. Zbl 0725.47009 Birman, M. Sh.; Yafaev, D. R. 1 1989 Quasiclassical asymptotics of the scattering cross-section for the Schrödinger equation. Zbl 0672.35054 Yafaev, D. R. 1 1988 On the quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Zbl 0607.35070 Sobolev, A. V.; Yafaev, D. R. 10 1986 The eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation. Zbl 0608.35054 Yafaev, D. R. 10 1986 Resonance scattering on a negative potential. Zbl 0582.35109 Yafaev, D. R. 3 1986 Theory of potential scattering, taking into account spatial anisotropy. Zbl 0596.47006 Deĭch, V. G.; Korotyaev, E. L.; Yafaev, D. R. 3 1986 The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011 Sobolev, A. V.; Yafaev, D. R. 6 1985 Remarks on the spectral theory for the multiparticle-type Schrödinger operator. Zbl 0582.35034 Yafaev, D. R. 5 1985 On the asymptotics of solutions of Volterra integral equations. Zbl 0571.45002 Yafaev, D. R. 1 1985 ...and 33 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 803 Authors 57 Yafaev, Dimitri R. 27 Pushnitski, Alexander B. 24 Gesztesy, Fritz 18 Weder, Ricardo A. 15 Lakaev, Saidakhmat Norzhigitovich 15 Richard, Serge 15 Sukochev, Fedor Anatol’evich 13 Frank, Rupert L. 13 Skibsted, Erik 13 Tiedra de Aldecoa, Rafael 12 Neidhardt, Hagen 11 Behrndt, Jussi 11 Nakamura, Shu 11 Wang, Xueping 10 Jensen, Arne 9 Albeverio, Sergio A. 9 Dereziński, Jan 9 Malamud, Mark M. 9 Muminov, Zahriddin Ishkobilovich 9 Skripka, Anna 8 Carey, Alan L. 8 Makarov, Konstantin A. 8 Mantile, Andrea 8 Potapov, Denis 8 Salo, Mikko 8 Sigal, Israel Michael 8 Tamura, Hideo 8 Teta, Alessandro 8 Tumulka, Roderich 7 Adachi, Tadayoshi 7 Ballesteros, Miguel 7 Faupin, Jérémy 7 Hislop, Peter D. 7 Isozaki, Hiroshi 7 Muminov, Mukhiddin Èshkobilovich 7 Posilicano, Andrea 7 Rasulov, Tulkin Khusenovich 6 Birman, Mikhail Shlëmovich 6 Bruneau, Vincent 6 Denisov, Sergey A. 6 Figari, Rodolfo 6 Fujiié, Setsuro 6 Gérard, Christian 6 Nichols, Roger 6 Nicoleau, François 6 Novikov, Roman G. 6 Peral Alonso, Ireneo 6 Simon, Barry 5 Abdellaoui, Boumediene 5 Abdullaev, Janikul I. 5 Azamov, Nurulla A. 5 Christiansen, Tanya J. 5 Cornean, Horia D. 5 Daudé, Thierry 5 Dell’Antonio, Gian Fausto 5 Dimassi, Mouez 5 Gebert, Martin 5 Ito, Kenichi 5 Khalkhuzhaev, Ahmad M. 5 Korotyaev, Evgeny L. 5 Levitina, Galina Borisovna 5 Merz, Konstantin 5 Morioka, Hisashi 5 Nenciu, Gheorghe 5 Popoff, Nicolas 5 Pupyshev, Vasiliĭ Veniaminovitch 5 Raikov, Georgi D. 5 Roncal, Luz 5 Rozenblum, Grigori V. 5 Safronov, Oleg 5 Schmidt, Julian 5 Sobolev, Alexander V. 5 Thangavelu, Sundaram 5 Zanin, Dmitriy V. 4 Boussaid, Nabile 4 Cacciapuoti, Claudio 4 Cuenin, Jean-Claude 4 Daniels, Tom 4 Datchev, Kiril R. 4 Eskin, Gregory 4 Hassell, Andrew 4 Holzmann, Markus 4 Klopp, Frédéric 4 Kostrykin, Vadim V. 4 Lakaev, Shukhrat Saidakhmatovich 4 Lampart, Jonas 4 Laptev, Ari 4 Latushkin, Yuri 4 Lewis, Roger T. 4 Machihara, Shuji 4 Martinez, André 4 Mostafazadeh, Ali 4 Naboko, Serguei N. 4 Ozawa, Tohru 4 Petkov, Vesselin M. 4 Pillet, Claude-Alain 4 Primo, Ana R. M. 4 Pusateri, Fabio 4 Shahgholian, Henrik 4 Sloushch, Vladimir Anatolevich ...and 703 more Authors all top 5 Cited in 176 Serials 82 Journal of Functional Analysis 61 Journal of Mathematical Physics 56 Communications in Mathematical Physics 41 Annales Henri Poincaré 31 Reviews in Mathematical Physics 30 Journal of Mathematical Analysis and Applications 28 Theoretical and Mathematical Physics 23 Integral Equations and Operator Theory 22 St. Petersburg Mathematical Journal 20 Communications in Partial Differential Equations 20 Annales de l’Institut Henri Poincaré. Physique Théorique 16 Letters in Mathematical Physics 16 Journal of Differential Equations 12 Transactions of the American Mathematical Society 12 Journal of Spectral Theory 11 Duke Mathematical Journal 11 Functional Analysis and its Applications 11 Mathematical Physics, Analysis and Geometry 11 Journal of Physics A: Mathematical and Theoretical 10 Journal d’Analyse Mathématique 10 Journal of Soviet Mathematics 9 Journal of Mathematical Sciences (New York) 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Advances in Mathematics 7 Mathematische Zeitschrift 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 6 Communications on Pure and Applied Analysis 6 Bulletin of Mathematical Sciences 5 Russian Mathematics 5 Russian Journal of Mathematical Physics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Analysis & PDE 4 Arkiv för Matematik 4 Annales de l’Institut Fourier 4 Mathematische Nachrichten 4 Proceedings of the American Mathematical Society 4 Transactions of the Moscow Mathematical Society 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Bulletin des Sciences Mathématiques 4 Discrete and Continuous Dynamical Systems 4 Lobachevskii Journal of Mathematics 3 Archive for Rational Mechanics and Analysis 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Nonlinearity 3 Physics Letters. 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Mathematics 2 Potential Analysis 2 Calculus of Variations and Partial Differential Equations 2 Integral Transforms and Special Functions 2 The Journal of Fourier Analysis and Applications 2 Documenta Mathematica 2 Matematicheskie Trudy 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Evolution Equations 2 Advanced Nonlinear Studies 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Complex Variables and Elliptic Equations 2 Operators and Matrices 2 Banach Journal of Mathematical Analysis 2 Journal of Pseudo-Differential Operators and Applications 2 Analysis and Mathematical Physics 2 Forum of Mathematics, Sigma 2 Concrete Operators 2 Research in the Mathematical Sciences 2 Mathematics in Engineering 2 Annales Henri Lebesgue 1 Modern Physics Letters A 1 Classical and Quantum Gravity 1 Moscow University Mathematics Bulletin 1 Moscow University Physics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Journal of Geometry and Physics ...and 76 more Serials all top 5 Cited in 48 Fields 460 Partial differential equations (35-XX) 430 Quantum theory (81-XX) 389 Operator theory (47-XX) 68 Functional analysis (46-XX) 65 Ordinary differential equations (34-XX) 48 Global analysis, analysis on manifolds (58-XX) 48 Statistical mechanics, structure of matter (82-XX) 45 Real functions (26-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 29 Optics, electromagnetic theory (78-XX) 28 Mechanics of particles and systems (70-XX) 26 Difference and functional equations (39-XX) 25 Special functions (33-XX) 19 Probability theory and stochastic processes (60-XX) 11 Functions of a complex variable (30-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Approximations and expansions (41-XX) 10 Relativity and gravitational theory (83-XX) 9 Numerical analysis (65-XX) 8 Potential theory (31-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Fluid mechanics (76-XX) 7 History and biography (01-XX) 7 Abstract harmonic analysis (43-XX) 7 Integral transforms, operational calculus (44-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Differential geometry (53-XX) 5 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 4 Topological groups, Lie groups (22-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 \(K\)-theory (19-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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