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

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

Publications by Year

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 0761.47001
Yafaev, D. R.
223
1992
Mathematical scattering theory. Analytic theory. Zbl 1197.35006
Yafaev, D. R.
91
2010
Sharp constants in the Hardy-Rellich inequalities. Zbl 0981.26016
Yafaev, D.
89
1999
On the theory of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0342.35041
Yafaev, D. R.
53
1976
Scattering theory: some old and new problems. Zbl 0951.35003
Yafaev, Dmitri
46
2000
The low energy scattering for slowly decreasing potentials. Zbl 0509.35065
Yafaev, D. R.
33
1982
The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013
Birman, M. Sh.; Yafaev, D. R.
31
1992
Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. Zbl 0781.35048
Yafaev, D.
25
1993
On the mathematical theory of the Aharonov-Bohm effect. Zbl 1066.81550
Roux, Ph.; Yafaev, D.
14
2002
The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential. Zbl 1062.81144
Roux, Ph.; Yafaev, D.
14
2003
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 amplitude for the Schrödinger equation with a long-range potential. Zbl 0888.35089
Yafaev, D.
13
1998
On a zero-range interaction of a quantum particle with the vacuum. Zbl 0751.47038
Yafaev, D. R.
12
1992
A trace formula for the Dirac operator. Zbl 1114.47011
Yafaev, D. R.
12
2005
Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062
Birman, M. Sh.; Yafaev, D. R.
11
1984
Wave operators for the Schrödinger equation. Zbl 0467.35076
Yafaev, D. R.
11
1981
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 solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050
Gâtel, Yannick; Yafaev, Dimitri
10
1999
On the finiteness of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0412.35031
Jafaev, D. R.
9
1976
On spectral properties of translationally invariant magnetic Schrödinger operators. Zbl 1140.81394
Yafaev, Dimitri
9
2008
Scattering matrix for magnetic potentials with Coulomb decay at infinity. Zbl 1073.47506
Yafaev, D. R.
9
2003
A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019
Yafaev, D. R.
8
2010
Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Zbl 1217.47023
Pushnitski, Alexander; Yafaev, Dmitri
8
2010
The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited. Zbl 1248.47015
Yafaev, D. R.
8
2011
On the classical and quantum Coulomb scattering. Zbl 0926.35107
Yafaev, D.
8
1997
On the point spectrum in the quantum-mechanical many-body problem. Zbl 0366.35065
Yafaev, D. R.
8
1977
The evolution operator for time-dependent potentials of zero radius. Zbl 0599.35035
Sayapova, M. R.; Yafaev, D. R.
8
1984
High-energy and smoothness asymptotic expansion of the scattering amplitude. Zbl 1045.35059
Yafaev, D.
8
2003
Unbounded Hankel operators and moment problems. Zbl 1348.47004
Yafaev, D. R.
7
2016
The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. Zbl 1222.47072
Yafaev, D. R.
7
2007
The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064
Birman, M. Sh.; Yafaev, D. R.
7
1981
The virtual level of the Schrödinger equation. Zbl 0401.35038
Yafaev, D. R.
7
1979
A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660
Yafaev, D. R.
7
2017
Asymptotic behavior of eigenvalues of Hankel operators. Zbl 1338.47025
Pushnitski, Alexander; Yafaev, Dmitri
7
2015
Scattering theory for the Dirac operator with a long-range electromagnetic potential. Zbl 0996.35056
Gâtel, Y.; Yafaev, D.
7
2001
Spectral theory of piecewise continuous functions of self-adjoint operators. Zbl 1296.47009
Pushnitski, Alexander; Yafaev, Dmitri
6
2014
Criteria for Hankel operators to be sign-definite. Zbl 1312.47035
Yafaev, Dimitri R.
6
2015
Scattering by magnetic fields. Zbl 1110.47065
Yafaev, D. R.
6
2006
The phase analysis in the problem of scattering on a radial potential. Zbl 0588.47011
Sobolev, A. V.; Yafaev, D. R.
6
1985
A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114
Yafaev, D. R.
6
2019
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
New channels in three-body long-range scattering. Zbl 0876.35081
Yafaev, D.
5
1994
On the virtual state of Schrödinger equation. Zbl 0347.35028
Yafaev, D. R.
5
1975
Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013
Pushnitski, Alexander; Yafaev, Dmitri
5
2017
Quasi-Carleman operators and their spectral properties. Zbl 1326.47009
Yafaev, D. R.
5
2015
Spectral properties of the scattering matrix. Zbl 0819.47009
Birman, M. Sh.; Yafaev, D. R.
5
1992
Remarks on the spectral theory for the multiparticle-type Schrödinger operator. Zbl 0582.35034
Yafaev, D. R.
5
1985
Sharp estimates for singular values of Hankel operators. Zbl 1329.47031
Pushnitski, Alexander; Yafaev, Dmitri
5
2015
A trace formula for differential operators of arbitrary order. Zbl 1263.34120
Östensson, J.; Yafaev, D. R.
5
2012
Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1405.33014
Yafaev, D. R.
5
2018
A general scheme in the stationary scattering theory. Zbl 0818.35073
Birman, M. Sh.; Yafaev, D. R.
4
1993
Negative spectrum of the Schrödinger operational equation. Zbl 0206.44603
Yafaev, D. R.
4
1970
Spectral and scattering theory of fourth order differential operators. Zbl 1170.34058
Yafaev, D. R.
4
2008
A particle in a magnetic field of an infinite rectilinear current. Zbl 1033.81030
Yafaev, D.
4
2003
On solutions of the Schrödinger equation with radiation conditions at infinity. Zbl 0753.35022
Yafaev, D. R.
4
1991
Wave operators for the Schrödinger equation. Zbl 0458.35078
Yafaev, D. R.
4
1980
Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians. Zbl 0823.47010
Yafaev, D.
4
1995
The discrete spectrum in the singular Friedrichs model. Zbl 0923.35111
Yafaev, D.
4
1999
On the break-down of completeness of wave operators in potential scattering. Zbl 0401.47006
Yafaev, D. R.
4
1979
Diagonalizations of two classes of unbounded Hankel operators. Zbl 1304.47040
Yafaev, D. R.
4
2014
Localization principle for compact Hankel operators. Zbl 1338.47026
Pushnitski, Alexander; Yafaev, Dmitri
3
2016
Quasi-diagonalization of Hankel operators. Zbl 06822165
Yafaev, D. R.
3
2017
On the proof of Enss of asymptotic completeness in potential scattering theory. Zbl 0438.47012
Yafaev, D. R.
3
1979
Spectral properties of the Schrödinger operator with a potential having a slow falloff. Zbl 0518.47032
Yafaev, D. R.
3
1983
High energy asymptotics of the scattering amplitude for the Schrödinger equation. Zbl 1199.81037
Yafaev, D.
3
2002
The nuclear method in potential scattering theory. Zbl 0734.47003
Birman, M. Sh.; Yafaev, D. R.
3
1991
Resonance scattering on a negative potential. Zbl 0582.35109
Yafaev, D. R.
3
1986
Scattering theory for time-dependent zero-range potentials. Zbl 0582.47012
Yafaev, D. R.
3
1984
On finite rank Hankel operators. Zbl 1320.47031
Yafaev, D. R.
3
2015
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 asymptotics of scattering phases for the Schrödinger equation. Zbl 0723.35062
Yafaev, D. R.
2
1990
Spectral asymptotics for compact self-adjoint Hankel operators. Zbl 1375.47024
Pushnitski, Alexander; Yafaev, Dmitri
2
2016
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
Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0492.35059
Yafaev, D. R.
2
1982
Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0522.35070
Yafaev, D. R.
2
1983
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
Scattering theory: Some old and new problems. Zbl 0896.35097
Yafaev, D.
2
1998
Trace theorems for pseudo-differential operators. Zbl 0908.35145
Lerner, W.; Yafaev, D.
2
1998
Eigenfunctions of the continuous spectrum for the \(N\)-particle Schrödinger operator. Zbl 0814.35088
Yafaev, D.
2
1994
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 finiteness of discrete spectrum of the three-particle Schrödinger operator. Zbl 0322.35022
Yafaev, D. R.
2
1975
On semibounded Wiener-Hopf operators. Zbl 06774764
Yafaev, D. R.
2
2017
Radiation conditions and scattering theory for three-particle Hamiltonians. Zbl 0795.58009
Yafaev, D.
2
1992
Spectral properties of the abstract scattering matrix. Zbl 0733.47011
Sobolev, A. V.; Yafaev, D. R.
2
1991
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
Spectral and scattering theory for perturbations of the Carleman operator. Zbl 1320.47005
Yafaev, D. R.
2
2014
Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040
Pushnitski, Alexander; Yafaev, Dmitri
2
2015
Semiclassical asymptotic behavior of orthogonal polynomials. Zbl 1460.33014
Yafaev, D. R.
2
2020
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
Asymptotic behavior of orthogonal polynomials without the Carleman condition. Zbl 1448.33011
Yafaev, D. R.
2
2020
Passage through a potential barrier and multiple wells. Zbl 06852219
Yafaev, D. R.
2
2018
Toeplitz versus Hankel: semibounded operators. Zbl 06963045
Yafaev, Dmitri R.
2
2018
Asymptotic behavior of orthogonal polynomials. Singular critical case. Zbl 1457.33004
Yafaev, D. R.
1
2021
Semiclassical asymptotic behavior of orthogonal polynomials. Zbl 1460.33014
Yafaev, D. R.
2
2020
Asymptotic behavior of orthogonal polynomials without the Carleman condition. Zbl 1448.33011
Yafaev, D. R.
2
2020
A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114
Yafaev, D. R.
6
2019
Correction to: Unbounded Hankel operators and moment problems. Zbl 1443.47004
Yafaev, D. R.
1
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.
2
2018
Toeplitz versus Hankel: semibounded operators. Zbl 06963045
Yafaev, Dmitri R.
2
2018
Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1397.81067
Yafaev, D. R.
1
2018
A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660
Yafaev, D. R.
7
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.
3
2017
On semibounded Wiener-Hopf operators. Zbl 06774764
Yafaev, D. R.
2
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.
7
2016
Localization principle for compact Hankel operators. Zbl 1338.47026
Pushnitski, Alexander; Yafaev, Dmitri
3
2016
Spectral asymptotics for compact self-adjoint Hankel operators. Zbl 1375.47024
Pushnitski, Alexander; Yafaev, Dmitri
2
2016
Asymptotic behavior of eigenvalues of Hankel operators. Zbl 1338.47025
Pushnitski, Alexander; Yafaev, Dmitri
7
2015
Criteria for Hankel operators to be sign-definite. Zbl 1312.47035
Yafaev, Dimitri R.
6
2015
Quasi-Carleman operators and their spectral properties. Zbl 1326.47009
Yafaev, D. R.
5
2015
Sharp estimates for singular values of Hankel operators. Zbl 1329.47031
Pushnitski, Alexander; Yafaev, Dmitri
5
2015
On finite rank Hankel operators. Zbl 1320.47031
Yafaev, D. R.
3
2015
Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040
Pushnitski, Alexander; Yafaev, Dmitri
2
2015
Spectral theory of piecewise continuous functions of self-adjoint operators. Zbl 1296.47009
Pushnitski, Alexander; Yafaev, Dmitri
6
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.
2
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.
5
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.
8
2011
Mathematical scattering theory. Analytic theory. Zbl 1197.35006
Yafaev, D. R.
91
2010
A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019
Yafaev, D. R.
8
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.
1
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
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.
6
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.
12
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
Scattering matrix for magnetic potentials with Coulomb decay at infinity. Zbl 1073.47506
Yafaev, D. R.
9
2003
High-energy and smoothness asymptotic expansion of the scattering amplitude. Zbl 1045.35059
Yafaev, D.
8
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.
14
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.
7
2001
Scattering theory: some old and new problems. Zbl 0951.35003
Yafaev, Dmitri
46
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.
89
1999
On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050
Gâtel, Yannick; Yafaev, Dimitri
10
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
The scattering amplitude for the Schrödinger equation with a long-range potential. Zbl 0888.35089
Yafaev, D.
13
1998
Scattering theory: Some old and new problems. Zbl 0896.35097
Yafaev, D.
2
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.
8
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.
4
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.
2
1994
Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. Zbl 0781.35048
Yafaev, D.
25
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.
223
1992
The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013
Birman, M. Sh.; Yafaev, D. R.
31
1992
On a zero-range interaction of a quantum particle with the vacuum. Zbl 0751.47038
Yafaev, D. R.
12
1992
Spectral properties of the scattering matrix. Zbl 0819.47009
Birman, M. Sh.; Yafaev, D. R.
5
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.
4
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.
1
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
Scattering theory for zero-range potentials, periodic in time. Zbl 0582.35091
Sayapova, M. R.; Yafaev, D. R.
1
1985
Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062
Birman, M. Sh.; Yafaev, D. R.
11
1984
The evolution operator for time-dependent potentials of zero radius. Zbl 0599.35035
Sayapova, M. R.; Yafaev, D. R.
8
1984
Scattering theory for time-dependent zero-range potentials. Zbl 0582.47012
Yafaev, D. R.
3
1984
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
...and 27 more Documents
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

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.