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Author ID: yafaev.dimitri-r Recent zbMATH articles by "Yafaev, Dimitri R."
Published as: Yafaev, D. R.; Yafaev, D.; Yafaev, Dmitri; Yafaev, Dimitri; Yafaev, Dimitri R.; Yafaev, Dmitri R.; Jafaev, D. R.
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
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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

Publications by Year

Citations contained in zbMATH Open

133 Publications have been cited 1,275 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.
62
1976
Scattering theory: some old and new problems. Zbl 0951.35003
Yafaev, Dmitri
53
2000
The low energy scattering for slowly decreasing potentials. Zbl 0509.35065
Yafaev, D. R.
37
1982
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
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
Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062
Birman, M. Sh.; Yafaev, D. R.
12
1984
On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050
Gâtel, Yannick; Yafaev, Dimitri
12
1999
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
The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited. Zbl 1248.47015
Yafaev, D. R.
10
2011
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
On the finiteness of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0412.35031
Jafaev, D. R.
10
1976
A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019
Yafaev, D. R.
10
2010
On spectral properties of translationally invariant magnetic Schrödinger operators. Zbl 1140.81394
Yafaev, Dimitri
9
2008
On the classical and quantum Coulomb scattering. Zbl 0926.35107
Yafaev, D.
9
1997
On the point spectrum in the quantum-mechanical many-body problem. Zbl 0366.35065
Yafaev, D. R.
9
1977
Unbounded Hankel operators and moment problems. Zbl 1348.47004
Yafaev, D. R.
9
2016
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
Asymptotic behavior of eigenvalues of Hankel operators. Zbl 1338.47025
Pushnitski, Alexander; Yafaev, Dmitri
9
2015
Scattering theory for the Dirac operator with a long-range electromagnetic potential. Zbl 0996.35056
Gâtel, Y.; Yafaev, D.
8
2001
Criteria for Hankel operators to be sign-definite. Zbl 1312.47035
Yafaev, Dimitri R.
8
2015
A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660
Yafaev, D. R.
8
2017
Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Zbl 1217.47023
Pushnitski, Alexander; Yafaev, Dmitri
8
2010
The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064
Birman, M. Sh.; Yafaev, D. R.
7
1981
Scattering by magnetic fields. Zbl 1110.47065
Yafaev, D. R.
7
2006
The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. Zbl 1222.47072
Yafaev, D. R.
7
2007
The virtual level of the Schrödinger equation. Zbl 0401.35038
Yafaev, D. R.
7
1979
Spectral properties of the scattering matrix. Zbl 0819.47009
Birman, M. Sh.; Yafaev, D. R.
7
1992
Quasi-Carleman operators and their spectral properties. Zbl 1326.47009
Yafaev, D. R.
7
2015
A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114
Yafaev, D. R.
7
2019
Spectral theory of piecewise continuous functions of self-adjoint operators. Zbl 1296.47009
Pushnitski, Alexander; Yafaev, Dmitri
7
2014
A trace formula for differential operators of arbitrary order. Zbl 1263.34120
Östensson, J.; Yafaev, D. R.
6
2012
On the virtual state of Schrödinger equation. Zbl 0347.35028
Yafaev, D. R.
6
1975
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
Sharp estimates for singular values of Hankel operators. Zbl 1329.47031
Pushnitski, Alexander; Yafaev, Dmitri
6
2015
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
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
On solutions of the Schrödinger equation with radiation conditions at infinity. Zbl 0753.35022
Yafaev, D. R.
5
1991
New channels in three-body long-range scattering. Zbl 0876.35081
Yafaev, D.
5
1994
On the violation of unitarity in time-dependent potential scattering. Zbl 0435.35064
Yafaev, D. R.
5
1978
Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013
Pushnitski, Alexander; Yafaev, Dmitri
5
2017
Quasi-diagonalization of Hankel operators. Zbl 06822165
Yafaev, D. R.
5
2017
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
The discrete spectrum in the singular Friedrichs model. Zbl 0923.35111
Yafaev, D.
4
1999
Spectral and scattering theory of fourth order differential operators. Zbl 1170.34058
Yafaev, D. R.
4
2008
Scattering theory for time-dependent zero-range potentials. Zbl 0582.47012
Yafaev, D. R.
4
1984
Wave operators for the Schrödinger equation. Zbl 0458.35078
Yafaev, D. R.
4
1980
A general scheme in the stationary scattering theory. Zbl 0818.35073
Birman, M. Sh.; Yafaev, D. R.
4
1993
Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040
Pushnitski, Alexander; Yafaev, Dmitri
4
2015
Localization principle for compact Hankel operators. Zbl 1338.47026
Pushnitski, Alexander; Yafaev, Dmitri
4
2016
Diagonalizations of two classes of unbounded Hankel operators. Zbl 1304.47040
Yafaev, D. R.
4
2014
On finite rank Hankel operators. Zbl 1320.47031
Yafaev, D. R.
4
2015
A particle in a magnetic field of an infinite rectilinear current. Zbl 1033.81030
Yafaev, D.
4
2003
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
Scattering theory: Some old and new problems. Zbl 0896.35097
Yafaev, D.
3
1998
High energy asymptotics of the scattering amplitude for the Schrödinger equation. Zbl 1199.81037
Yafaev, D.
3
2002
On the finiteness of discrete spectrum of the three-particle Schrödinger operator. Zbl 0322.35022
Yafaev, D. R.
3
1975
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
On the proof of Enss of asymptotic completeness in potential scattering theory. Zbl 0438.47012
Yafaev, D. R.
3
1979
Eigenfunctions of the continuous spectrum for the \(N\)-particle Schrödinger operator. Zbl 0814.35088
Yafaev, D.
3
1994
Spectral and scattering theory for perturbations of the Carleman operator. Zbl 1320.47005
Yafaev, D. R.
3
2014
On semibounded Wiener-Hopf operators. Zbl 06774764
Yafaev, D. R.
3
2017
Spectral asymptotics for compact self-adjoint Hankel operators. Zbl 1375.47024
Pushnitski, Alexander; Yafaev, Dmitri
3
2016
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
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
Remarks concerning the spectral theory for the Schrödinger operator of multiparticle type. Zbl 0552.35020
Yafaev, D. R.
2
1984
On resonance scattering by a negative potential. Zbl 0557.35094
Yafaev, D. R.
2
1984
Trace theorems for pseudo-differential operators. Zbl 0908.35145
Lerner, W.; Yafaev, D.
2
1998
The eikonal approximation for the Schrödinger equation. Zbl 0693.35125
Yafaev, D. R.
2
1989
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
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
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
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
Radiation conditions and scattering theory for three-particle Hamiltonians. Zbl 0795.58009
Yafaev, D.
2
1992
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
Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013
Pushnitski, Alexander; Yafaev, Dmitri
5
2017
Quasi-diagonalization of Hankel operators. Zbl 06822165
Yafaev, D. R.
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
Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040
Pushnitski, Alexander; Yafaev, Dmitri
4
2015
On finite rank Hankel operators. Zbl 1320.47031
Yafaev, D. R.
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
A class of pseudodifferential operators with oscillating symbol. Zbl 0940.35217
Yafaev, D. R.
1
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 0888.35089
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 of scattering for three-body quantum systems with long-range potentials. Zbl 0859.35084
Yafaev, Dimitri
1
1996
New channels in two-body long-range scattering. Zbl 0854.35080
Yafaev, D. R.
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
On the scattering matrix for perturbations of constant sign. Zbl 0780.47011
Yafaev, D. R.
1
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 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
The eikonal approximation for the Schrödinger equation. Zbl 0693.35125
Yafaev, D. R.
2
1989
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 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 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
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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. A
3 Russian Mathematical Surveys
3 Ukrainian Mathematical Journal
3 Inventiones Mathematicae
3 Manuscripta Mathematica
3 Constructive Approximation
3 The Journal of Geometric Analysis
3 Annals of Physics
3 SIAM Journal on Mathematical Analysis
3 Topological Methods in Nonlinear Analysis
3 Opuscula Mathematica
3 Boundary Value Problems
3 Complex Analysis and Operator Theory
2 International Journal of Theoretical Physics
2 Inverse Problems
2 Reports on Mathematical Physics
2 Journal of Approximation Theory
2 Mathematische Annalen
2 Monatshefte für Mathematik
2 Osaka Journal of Mathematics
2 Quarterly of Applied Mathematics
2 Siberian Mathematical Journal
2 Asymptotic Analysis
2 Forum Mathematicum
2 Linear Algebra and its Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. 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
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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)

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