Edit Profile (opens in new tab) Yafaev, Dimitri R. Compute Distance To: Compute Author ID: yafaev.dimitri-r Published as: Yafaev, D. R.; Yafaev, D.; Yafaev, Dmitri; Yafaev, Dimitri; Yafaev, Dmitri R.; Yafaev, Dimitri 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 Documents Indexed: 175 Publications since 1970, including 4 Books 2 Contributions as Editor Reviewing Activity: 109 Reviews Co-Authors: 38 Co-Authors with 54 Joint Publications 1,453 Co-Co-Authors all top 5 Co-Authors 123 single-authored 9 Pushnitski, Alexander B. 9 Sobolev, Alexander V. 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 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 Mathematics of the USSR, Sbornik 3 Russian Mathematical Surveys 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Soviet Mathematics. Doklady 3 Journal of Operator Theory 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 Journal of Spectral Theory 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 1 Analysis & PDE 1 Bulletin of Mathematical Sciences all top 5 Fields 109 Operator theory (47-XX) 97 Partial differential equations (35-XX) 78 Quantum theory (81-XX) 9 Ordinary differential equations (34-XX) 8 Difference and functional equations (39-XX) 7 History and biography (01-XX) 7 Special functions (33-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 127 Publications have been cited 1,091 times in 745 Documents Cited by ▼ Year ▼ Mathematical scattering theory. General theory. Zbl 0761.47001Yafaev, D. R. 223 1992 Mathematical scattering theory. Analytic theory. Zbl 1197.35006Yafaev, D. R. 91 2010 Sharp constants in the Hardy-Rellich inequalities. Zbl 0981.26016Yafaev, D. 89 1999 On the theory of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0342.35041Yafaev, D. R. 53 1976 Scattering theory: some old and new problems. Zbl 0951.35003Yafaev, Dmitri 46 2000 The low energy scattering for slowly decreasing potentials. Zbl 0509.35065Yafaev, D. R. 33 1982 The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013Birman, M. Sh.; Yafaev, D. R. 31 1992 Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. Zbl 0781.35048Yafaev, D. 25 1993 On the mathematical theory of the Aharonov-Bohm effect. Zbl 1066.81550Roux, Ph.; Yafaev, D. 14 2002 The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential. Zbl 1062.81144Roux, Ph.; Yafaev, D. 14 2003 On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity. Zbl 1112.35052Weder, Ricardo; Yafaev, Dimitri 14 2005 The scattering amplitude for the Schrödinger equation with a long-range potential. Zbl 0888.35089Yafaev, D. 13 1998 On a zero-range interaction of a quantum particle with the vacuum. Zbl 0751.47038Yafaev, D. R. 12 1992 A trace formula for the Dirac operator. Zbl 1114.47011Yafaev, D. R. 12 2005 Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062Birman, M. Sh.; Yafaev, D. R. 11 1984 Wave operators for the Schrödinger equation. Zbl 0467.35076Yafaev, D. R. 11 1981 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 eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation. Zbl 0608.35054Yafaev, D. R. 10 1986 On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050Gâtel, Yannick; Yafaev, Dimitri 10 1999 On the finiteness of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0412.35031Jafaev, D. R. 9 1976 On spectral properties of translationally invariant magnetic Schrödinger operators. Zbl 1140.81394Yafaev, Dimitri 9 2008 Scattering matrix for magnetic potentials with Coulomb decay at infinity. Zbl 1073.47506Yafaev, D. R. 9 2003 A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019Yafaev, D. R. 8 2010 Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Zbl 1217.47023Pushnitski, Alexander; Yafaev, Dmitri 8 2010 The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited. Zbl 1248.47015Yafaev, D. R. 8 2011 On the classical and quantum Coulomb scattering. Zbl 0926.35107Yafaev, D. 8 1997 On the point spectrum in the quantum-mechanical many-body problem. Zbl 0366.35065Yafaev, D. R. 8 1977 The evolution operator for time-dependent potentials of zero radius. Zbl 0599.35035Sayapova, M. R.; Yafaev, D. R. 8 1984 High-energy and smoothness asymptotic expansion of the scattering amplitude. Zbl 1045.35059Yafaev, D. 8 2003 Unbounded Hankel operators and moment problems. Zbl 1348.47004Yafaev, D. R. 7 2016 The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. Zbl 1222.47072Yafaev, D. R. 7 2007 The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064Birman, M. Sh.; Yafaev, D. R. 7 1981 The virtual level of the Schrödinger equation. Zbl 0401.35038Yafaev, D. R. 7 1979 A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660Yafaev, D. R. 7 2017 Asymptotic behavior of eigenvalues of Hankel operators. Zbl 1338.47025Pushnitski, Alexander; Yafaev, Dmitri 7 2015 Scattering theory for the Dirac operator with a long-range electromagnetic potential. Zbl 0996.35056Gâtel, Y.; Yafaev, D. 7 2001 Spectral theory of piecewise continuous functions of self-adjoint operators. Zbl 1296.47009Pushnitski, Alexander; Yafaev, Dmitri 6 2014 Criteria for Hankel operators to be sign-definite. Zbl 1312.47035Yafaev, Dimitri R. 6 2015 Scattering by magnetic fields. Zbl 1110.47065Yafaev, D. R. 6 2006 The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011Sobolev, A. V.; Yafaev, D. R. 6 1985 A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114Yafaev, D. R. 6 2019 On the violation of unitarity in time-dependent potential scattering. Zbl 0435.35064Yafaev, D. R. 5 1978 Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088Birman, M. Sh.; Yafaev, D. R. 5 1994 New channels in three-body long-range scattering. Zbl 0876.35081Yafaev, D. 5 1994 On the virtual state of Schrödinger equation. Zbl 0347.35028Yafaev, D. R. 5 1975 Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013Pushnitski, Alexander; Yafaev, Dmitri 5 2017 Quasi-Carleman operators and their spectral properties. Zbl 1326.47009Yafaev, D. R. 5 2015 Spectral properties of the scattering matrix. Zbl 0819.47009Birman, M. Sh.; Yafaev, D. R. 5 1992 Remarks on the spectral theory for the multiparticle-type Schrödinger operator. Zbl 0582.35034Yafaev, D. R. 5 1985 Sharp estimates for singular values of Hankel operators. Zbl 1329.47031Pushnitski, Alexander; Yafaev, Dmitri 5 2015 A trace formula for differential operators of arbitrary order. Zbl 1263.34120Östensson, J.; Yafaev, D. R. 5 2012 Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1405.33014Yafaev, D. R. 5 2018 A general scheme in the stationary scattering theory. Zbl 0818.35073Birman, M. Sh.; Yafaev, D. R. 4 1993 Negative spectrum of the Schrödinger operational equation. Zbl 0206.44603Yafaev, D. R. 4 1970 Spectral and scattering theory of fourth order differential operators. Zbl 1170.34058Yafaev, D. R. 4 2008 A particle in a magnetic field of an infinite rectilinear current. Zbl 1033.81030Yafaev, D. 4 2003 On solutions of the Schrödinger equation with radiation conditions at infinity. Zbl 0753.35022Yafaev, D. R. 4 1991 Wave operators for the Schrödinger equation. Zbl 0458.35078Yafaev, D. R. 4 1980 Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians. Zbl 0823.47010Yafaev, D. 4 1995 The discrete spectrum in the singular Friedrichs model. Zbl 0923.35111Yafaev, D. 4 1999 On the break-down of completeness of wave operators in potential scattering. Zbl 0401.47006Yafaev, D. R. 4 1979 Diagonalizations of two classes of unbounded Hankel operators. Zbl 1304.47040Yafaev, D. R. 4 2014 Localization principle for compact Hankel operators. Zbl 1338.47026Pushnitski, Alexander; Yafaev, Dmitri 3 2016 Quasi-diagonalization of Hankel operators. Zbl 06822165Yafaev, D. R. 3 2017 On the proof of Enss of asymptotic completeness in potential scattering theory. Zbl 0438.47012Yafaev, D. R. 3 1979 Spectral properties of the Schrödinger operator with a potential having a slow falloff. Zbl 0518.47032Yafaev, D. R. 3 1983 High energy asymptotics of the scattering amplitude for the Schrödinger equation. Zbl 1199.81037Yafaev, D. 3 2002 The nuclear method in potential scattering theory. Zbl 0734.47003Birman, M. Sh.; Yafaev, D. R. 3 1991 Resonance scattering on a negative potential. Zbl 0582.35109Yafaev, D. R. 3 1986 Scattering theory for time-dependent zero-range potentials. Zbl 0582.47012Yafaev, D. R. 3 1984 On finite rank Hankel operators. Zbl 1320.47031Yafaev, D. R. 3 2015 The eikonal approximation for the Schrödinger equation. Zbl 0693.35125Yafaev, D. R. 2 1989 On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section. Zbl 0698.35116Yafaev, D. R. 2 1989 On the asymptotics of scattering phases for the Schrödinger equation. Zbl 0723.35062Yafaev, D. R. 2 1990 Spectral asymptotics for compact self-adjoint Hankel operators. Zbl 1375.47024Pushnitski, Alexander; Yafaev, Dmitri 2 2016 Asymptotic completeness for the multidimensional time-dependent Schrödinger equation. Zbl 0455.35048Yafaev, D. R. 2 1980 On the asymptotic behavior of solutions of the time-dependent Schrödinger equation. Zbl 0462.35008Yafaev, D. R. 2 1981 Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0492.35059Yafaev, D. R. 2 1982 Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0522.35070Yafaev, D. R. 2 1983 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026Buslaev, 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 Scattering theory: Some old and new problems. Zbl 0896.35097Yafaev, D. 2 1998 Trace theorems for pseudo-differential operators. Zbl 0908.35145Lerner, W.; Yafaev, D. 2 1998 Eigenfunctions of the continuous spectrum for the \(N\)-particle Schrödinger operator. Zbl 0814.35088Yafaev, D. 2 1994 On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. Zbl 1026.01503Buslaev, V.; Solomyak, M.; Yafaev, D. 2 1999 Bemerkung über die Streutheorie für einen gestörten polyharmonischen Operator. Zbl 0302.47007Yafaev, D. R. 2 1974 A remark concerning the theory of scattering for a perturbed polyharmonic operator. Zbl 0309.47010Yafaev, D. R. 2 1974 On the finiteness of discrete spectrum of the three-particle Schrödinger operator. Zbl 0322.35022Yafaev, D. R. 2 1975 On semibounded Wiener-Hopf operators. Zbl 06774764Yafaev, D. R. 2 2017 Radiation conditions and scattering theory for three-particle Hamiltonians. Zbl 0795.58009Yafaev, D. 2 1992 Spectral properties of the abstract scattering matrix. Zbl 0733.47011Sobolev, A. V.; Yafaev, D. R. 2 1991 Remarks concerning the spectral theory for the Schrödinger operator of multiparticle type. Zbl 0552.35020Yafaev, D. R. 2 1984 On resonance scattering by a negative potential. Zbl 0557.35094Yafaev, D. R. 2 1984 Spectral and scattering theory for perturbations of the Carleman operator. Zbl 1320.47005Yafaev, D. R. 2 2014 Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040Pushnitski, Alexander; Yafaev, Dmitri 2 2015 Semiclassical asymptotic behavior of orthogonal polynomials. Zbl 1460.33014Yafaev, D. R. 2 2020 Spectral and scattering theory for differential and Hankel operators. Zbl 1360.34172Yafaev, D. R. 2 2017 Hankel and Toeplitz operators: continuous and discrete representations. Zbl 1450.47016Yafaev, Dmitri R. 2 2017 Asymptotic behavior of orthogonal polynomials without the Carleman condition. Zbl 1448.33011Yafaev, D. R. 2 2020 Passage through a potential barrier and multiple wells. Zbl 06852219Yafaev, D. R. 2 2018 Toeplitz versus Hankel: semibounded operators. Zbl 06963045Yafaev, Dmitri R. 2 2018 Asymptotic behavior of orthogonal polynomials. Singular critical case. Zbl 1457.33004Yafaev, D. R. 1 2021 Semiclassical asymptotic behavior of orthogonal polynomials. Zbl 1460.33014Yafaev, D. R. 2 2020 Asymptotic behavior of orthogonal polynomials without the Carleman condition. Zbl 1448.33011Yafaev, D. R. 2 2020 A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114Yafaev, D. R. 6 2019 Correction to: Unbounded Hankel operators and moment problems. Zbl 1443.47004Yafaev, D. R. 1 2019 Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1405.33014Yafaev, D. R. 5 2018 Passage through a potential barrier and multiple wells. Zbl 06852219Yafaev, D. R. 2 2018 Toeplitz versus Hankel: semibounded operators. Zbl 06963045Yafaev, Dmitri R. 2 2018 Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1397.81067Yafaev, D. R. 1 2018 A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660Yafaev, D. R. 7 2017 Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013Pushnitski, Alexander; Yafaev, Dmitri 5 2017 Quasi-diagonalization of Hankel operators. Zbl 06822165Yafaev, D. R. 3 2017 On semibounded Wiener-Hopf operators. Zbl 06774764Yafaev, D. R. 2 2017 Spectral and scattering theory for differential and Hankel operators. Zbl 1360.34172Yafaev, D. R. 2 2017 Hankel and Toeplitz operators: continuous and discrete representations. Zbl 1450.47016Yafaev, Dmitri R. 2 2017 On semibounded Toeplitz operators. Zbl 1399.47010Yafaev, D. R. 1 2017 Unbounded Hankel operators and moment problems. Zbl 1348.47004Yafaev, D. R. 7 2016 Localization principle for compact Hankel operators. Zbl 1338.47026Pushnitski, Alexander; Yafaev, Dmitri 3 2016 Spectral asymptotics for compact self-adjoint Hankel operators. Zbl 1375.47024Pushnitski, Alexander; Yafaev, Dmitri 2 2016 Asymptotic behavior of eigenvalues of Hankel operators. Zbl 1338.47025Pushnitski, Alexander; Yafaev, Dmitri 7 2015 Criteria for Hankel operators to be sign-definite. Zbl 1312.47035Yafaev, Dimitri R. 6 2015 Quasi-Carleman operators and their spectral properties. Zbl 1326.47009Yafaev, D. R. 5 2015 Sharp estimates for singular values of Hankel operators. Zbl 1329.47031Pushnitski, Alexander; Yafaev, Dmitri 5 2015 On finite rank Hankel operators. Zbl 1320.47031Yafaev, D. R. 3 2015 Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040Pushnitski, Alexander; Yafaev, Dmitri 2 2015 Spectral theory of piecewise continuous functions of self-adjoint operators. Zbl 1296.47009Pushnitski, Alexander; Yafaev, Dmitri 6 2014 Diagonalizations of two classes of unbounded Hankel operators. Zbl 1304.47040Yafaev, D. R. 4 2014 Spectral and scattering theory for perturbations of the Carleman operator. Zbl 1320.47005Yafaev, D. R. 2 2014 A multichannel scheme in smooth scattering theory. Zbl 1328.47014Pushnitski, Alexander; Yafaev, Dmitri 1 2013 A trace formula for differential operators of arbitrary order. Zbl 1263.34120Östensson, J.; Yafaev, D. R. 5 2012 On the mathematical work of M. Sh. Birman. Zbl 1236.01029Solomyak, 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 1248.47015Yafaev, D. R. 8 2011 Mathematical scattering theory. Analytic theory. Zbl 1197.35006Yafaev, D. R. 91 2010 A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019Yafaev, D. R. 8 2010 Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Zbl 1217.47023Pushnitski, Alexander; Yafaev, Dmitri 8 2010 Mikhail Shlemovich Birman (obituary). Zbl 1219.01025Babich, 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. 1 2010 On spectral properties of translationally invariant magnetic Schrödinger operators. Zbl 1140.81394Yafaev, Dimitri 9 2008 Spectral and scattering theory of fourth order differential operators. Zbl 1170.34058Yafaev, D. R. 4 2008 The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. Zbl 1222.47072Yafaev, D. R. 7 2007 Inverse scattering at a fixed energy for long-range potentials. Zbl 1125.35115Weder, Ricardo; Yafaev, Dimitri 1 2007 Scattering by magnetic fields. Zbl 1110.47065Yafaev, D. R. 6 2006 On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity. Zbl 1112.35052Weder, Ricardo; Yafaev, Dimitri 14 2005 A trace formula for the Dirac operator. Zbl 1114.47011Yafaev, D. R. 12 2005 Trace-class approach in scattering problems for perturbations of media. Zbl 1199.47056Yafaev, D. R. 1 2005 Mikhail Shlemovich Birman (on the occasion of his 75th birthday). Zbl 1061.01500Buslaev, V. S.; Solomyak, M. Z.; Yafaev, D. R. 1 2004 The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential. Zbl 1062.81144Roux, Ph.; Yafaev, D. 14 2003 Scattering matrix for magnetic potentials with Coulomb decay at infinity. Zbl 1073.47506Yafaev, D. R. 9 2003 High-energy and smoothness asymptotic expansion of the scattering amplitude. Zbl 1045.35059Yafaev, D. 8 2003 A particle in a magnetic field of an infinite rectilinear current. Zbl 1033.81030Yafaev, D. 4 2003 On the mathematical theory of the Aharonov-Bohm effect. Zbl 1066.81550Roux, Ph.; Yafaev, D. 14 2002 High energy asymptotics of the scattering amplitude for the Schrödinger equation. Zbl 1199.81037Yafaev, D. 3 2002 Scattering theory for the Dirac operator with a long-range electromagnetic potential. Zbl 0996.35056Gâtel, Y.; Yafaev, D. 7 2001 Scattering theory: some old and new problems. Zbl 0951.35003Yafaev, Dmitri 46 2000 Mikhail Shlyomovich Birman (on his 70th birthday). Zbl 0958.01026Buslaev, 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 0981.26016Yafaev, D. 89 1999 On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050Gâtel, Yannick; Yafaev, Dimitri 10 1999 The discrete spectrum in the singular Friedrichs model. Zbl 0923.35111Yafaev, D. 4 1999 On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman. Zbl 1026.01503Buslaev, V.; Solomyak, M.; Yafaev, D. 2 1999 Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011 1 1999 The scattering amplitude for the Schrödinger equation with a long-range potential. Zbl 0888.35089Yafaev, D. 13 1998 Scattering theory: Some old and new problems. Zbl 0896.35097Yafaev, D. 2 1998 Trace theorems for pseudo-differential operators. Zbl 0908.35145Lerner, W.; Yafaev, D. 2 1998 On the classical and quantum Coulomb scattering. Zbl 0926.35107Yafaev, D. 8 1997 New channels of scattering for three-body quantum systems with long-range potentials. Zbl 0859.35084Yafaev, Dimitri 1 1996 New channels in two-body long-range scattering. Zbl 0854.35080Yafaev, D. R. 1 1996 Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians. Zbl 0823.47010Yafaev, D. 4 1995 Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088Birman, M. Sh.; Yafaev, D. R. 5 1994 New channels in three-body long-range scattering. Zbl 0876.35081Yafaev, D. 5 1994 Eigenfunctions of the continuous spectrum for the \(N\)-particle Schrödinger operator. Zbl 0814.35088Yafaev, D. 2 1994 Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. Zbl 0781.35048Yafaev, D. 25 1993 A general scheme in the stationary scattering theory. Zbl 0818.35073Birman, M. Sh.; Yafaev, D. R. 4 1993 Mathematical scattering theory. General theory. Zbl 0761.47001Yafaev, D. R. 223 1992 The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013Birman, M. Sh.; Yafaev, D. R. 31 1992 On a zero-range interaction of a quantum particle with the vacuum. Zbl 0751.47038Yafaev, D. R. 12 1992 Spectral properties of the scattering matrix. Zbl 0819.47009Birman, M. Sh.; Yafaev, D. R. 5 1992 Radiation conditions and scattering theory for three-particle Hamiltonians. Zbl 0795.58009Yafaev, D. 2 1992 On the scattering matrix for perturbations of constant sign. Zbl 0780.47011Yafaev, D. R. 1 1992 Radiation conditions and scattering theory for \(N\)-particle quantum systems. Zbl 0771.35041Yafaev, D. 1 1992 Radiation conditions and scattering theory for \(N\)-particle Schrödinger operators. Zbl 0784.47017Yafaev, D. 1 1992 On solutions of the Schrödinger equation with radiation conditions at infinity. Zbl 0753.35022Yafaev, D. R. 4 1991 The nuclear method in potential scattering theory. Zbl 0734.47003Birman, M. Sh.; Yafaev, D. R. 3 1991 Spectral properties of the abstract scattering matrix. Zbl 0733.47011Sobolev, A. V.; Yafaev, D. R. 2 1991 On the asymptotics of scattering phases for the Schrödinger equation. Zbl 0723.35062Yafaev, D. R. 2 1990 The eikonal approximation for the Schrödinger equation. Zbl 0693.35125Yafaev, D. R. 2 1989 On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section. Zbl 0698.35116Yafaev, D. R. 2 1989 On the nuclear method in the theory of potential scattering. Zbl 0725.47009Birman, M. Sh.; Yafaev, D. R. 1 1989 Quasiclassical asymptotics of the scattering cross-section for the Schrödinger equation. Zbl 0672.35054Yafaev, D. R. 1 1988 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 eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation. Zbl 0608.35054Yafaev, D. R. 10 1986 Resonance scattering on a negative potential. Zbl 0582.35109Yafaev, D. R. 3 1986 Theory of potential scattering, taking into account spatial anisotropy. Zbl 0596.47006Deĭch, V. G.; Korotyaev, E. L.; Yafaev, D. R. 1 1986 The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011Sobolev, A. V.; Yafaev, D. R. 6 1985 Remarks on the spectral theory for the multiparticle-type Schrödinger operator. Zbl 0582.35034Yafaev, D. R. 5 1985 On the asymptotics of solutions of Volterra integral equations. Zbl 0571.45002Yafaev, D. R. 1 1985 Scattering theory for zero-range potentials, periodic in time. Zbl 0582.35091Sayapova, M. R.; Yafaev, D. R. 1 1985 Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062Birman, M. Sh.; Yafaev, D. R. 11 1984 The evolution operator for time-dependent potentials of zero radius. Zbl 0599.35035Sayapova, M. R.; Yafaev, D. R. 8 1984 Scattering theory for time-dependent zero-range potentials. Zbl 0582.47012Yafaev, D. R. 3 1984 Remarks concerning the spectral theory for the Schrödinger operator of multiparticle type. Zbl 0552.35020Yafaev, D. R. 2 1984 On resonance scattering by a negative potential. Zbl 0557.35094Yafaev, D. R. 2 1984 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 690 Authors 53 Yafaev, Dimitri R. 26 Pushnitski, Alexander B. 23 Gesztesy, Fritz 16 Weder, Ricardo A. 15 Sukochev, Fedor Anatol’evich 13 Lakaev, Saidakhmat Norzhigitovich 12 Richard, Serge 12 Skibsted, Erik 11 Frank, Rupert L. 11 Neidhardt, Hagen 11 Wang, Xueping 10 Behrndt, Jussi 10 Jensen, Arne 10 Nakamura, Shu 10 Tiedra de Aldecoa, Rafael 9 Albeverio, Sergio A. 9 Muminov, Zahriddin Ishkobilovich 8 Carey, Alan L. 8 Makarov, Konstantin A. 8 Malamud, Mark M. 8 Potapov, Denis 8 Skripka, Anna 8 Tamura, Hideo 7 Adachi, Tadayoshi 7 Ballesteros, Miguel 7 Cornean, Horia D. 7 Dereziński, Jan 7 Hislop, Peter D. 7 Mantile, Andrea 7 Muminov, Mukhiddin Èshkobilovich 7 Nichols, Roger 7 Sigal, Israel Michael 6 Birman, Mikhail Shlëmovich 6 Bruneau, Vincent 6 Figari, Rodolfo 6 Gérard, Christian 6 Isozaki, Hiroshi 6 Nicoleau, François 6 Rasulov, Tulkin Khusenovich 6 Salo, Mikko 6 Teta, Alessandro 5 Christiansen, Tanya J. 5 Daudé, Thierry 5 Dell’Antonio, Gian Fausto 5 Faupin, Jérémy 5 Fujiié, Setsuro 5 Ito, Kenichi 5 Korotyaev, Evgeny L. 5 Levitina, Galina Borisovna 5 Morioka, Hisashi 5 Nenciu, Gheorghe 5 Novikov, Roman G. 5 Peral Alonso, Ireneo 5 Popoff, Nicolas 5 Posilicano, Andrea 5 Pupyshev, Vasiliĭ Veniaminovitch 5 Simon, Barry 5 Zanin, Dmitriy V. 4 Abdellaoui, Boumediene 4 Azamov, Nurulla A. 4 Denisov, Sergey A. 4 Dimassi, Mouez 4 Eskin, Gregory 4 Gebert, Martin 4 Hassell, Andrew 4 Holzmann, Markus 4 Klopp, Frédéric 4 Laptev, Ari 4 Latushkin, Yuri 4 Lewis, Roger T. 4 Martinez, André 4 Mirotin, Adol’f Rubimovich 4 Naboko, Serguei N. 4 Petkov, Vesselin M. 4 Pillet, Claude-Alain 4 Primo, Ana R. M. 4 Raikov, Georgi D. 4 Roncal, Luz 4 Safronov, Oleg 4 Sloushch, Vladimir Anatolevich 4 Sobolev, Alexander V. 4 Thangavelu, Sundaram 4 Tumulka, Roderich 4 Yang, Jianfu 3 Akchurin, E. R. 3 Aschbacher, Walter H. 3 Barth, Simon 3 Beckner, William 3 Bitter, Andreas 3 Bouclet, Jean-Marc 3 Boussaid, Nabile 3 Ciaurri, Óscar 3 Daniels, Tom 3 Datchev, Kiril R. 3 Evans, William Desmond 3 Fall, Mouhamed Moustapha 3 Gell-Redman, Jesse 3 Gridnev, Dmitry K. 3 Ito, Hiroshi T. 3 Kholmatov, Shokhrukh Yusufovich ...and 590 more Authors all top 5 Cited in 155 Serials 72 Journal of Functional Analysis 58 Journal of Mathematical Physics 51 Communications in Mathematical Physics 36 Annales Henri Poincaré 30 Reviews in Mathematical Physics 28 Journal of Mathematical Analysis and Applications 27 Theoretical and Mathematical Physics 23 Integral Equations and Operator Theory 20 Communications in Partial Differential Equations 20 Annales de l’Institut Henri Poincaré. Physique Théorique 20 St. Petersburg Mathematical Journal 13 Letters in Mathematical Physics 13 Journal of Differential Equations 11 Duke Mathematical Journal 11 Functional Analysis and its Applications 11 Transactions of the American Mathematical Society 11 Mathematical Physics, Analysis and Geometry 10 Journal d’Analyse Mathématique 10 Journal of Soviet Mathematics 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Journal of Spectral Theory 7 Advances in Mathematics 7 Publications of the Research Institute for Mathematical Sciences, Kyoto University 7 Journal of Mathematical Sciences (New York) 6 Mathematische Zeitschrift 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Arkiv för Matematik 4 Annales de l’Institut Fourier 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 Russian Journal of Mathematical Physics 4 Bulletin of Mathematical Sciences 3 Journal of Statistical Physics 3 Physics Letters. A 3 Russian Mathematical Surveys 3 Ukrainian Mathematical Journal 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 The Journal of Geometric Analysis 3 SIAM Journal on Mathematical Analysis 3 Russian Mathematics 3 Bulletin des Sciences Mathématiques 3 Opuscula Mathematica 3 Communications on Pure and Applied Analysis 3 Journal of Physics A: Mathematical and Theoretical 2 Archive for Rational Mechanics and Analysis 2 International Journal of Theoretical Physics 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Reports on Mathematical Physics 2 Journal of Approximation Theory 2 Mathematische Annalen 2 Monatshefte für Mathematik 2 Osaka Journal of Mathematics 2 Siberian Mathematical Journal 2 Constructive Approximation 2 Forum Mathematicum 2 Annals of Physics 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Topological Methods in Nonlinear Analysis 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 The Journal of Fourier Analysis and Applications 2 Documenta Mathematica 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Evolution Equations 2 Advanced Nonlinear Studies 2 Boundary Value Problems 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Complex Analysis and Operator Theory 2 Operators and Matrices 1 Classical and Quantum Gravity 1 Inverse Problems 1 Moscow University Mathematics Bulletin 1 Moscow University Physics Bulletin 1 Rocky Mountain Journal of Mathematics 1 Journal of Geometry and Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Collectanea Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Hiroshima Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII ...and 55 more Serials all top 5 Cited in 47 Fields 389 Partial differential equations (35-XX) 377 Quantum theory (81-XX) 343 Operator theory (47-XX) 59 Ordinary differential equations (34-XX) 59 Functional analysis (46-XX) 43 Statistical mechanics, structure of matter (82-XX) 41 Global analysis, analysis on manifolds (58-XX) 36 Real functions (26-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 23 Optics, electromagnetic theory (78-XX) 21 Difference and functional equations (39-XX) 21 Mechanics of particles and systems (70-XX) 19 Special functions (33-XX) 15 Probability theory and stochastic processes (60-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 9 Relativity and gravitational theory (83-XX) 8 Functions of a complex variable (30-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Differential geometry (53-XX) 7 Fluid mechanics (76-XX) 6 History and biography (01-XX) 6 Numerical analysis (65-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Abstract harmonic analysis (43-XX) 5 Integral transforms, operational calculus (44-XX) 5 Integral equations (45-XX) 4 Potential theory (31-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Topological groups, Lie groups (22-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 3 Astronomy and astrophysics (85-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 \(K\)-theory (19-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 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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