×

zbMATH — the first resource for mathematics

Yafaev, Dimitri R.

Compute Distance To:
Author ID: yafaev.dimitri-r Recent zbMATH articles by "Yafaev, Dimitri R."
Published as: Jafaev, D. R.; Yafaev, D.; Yafaev, D. R.; Yafaev, Dimitri; Yafaev, Dimitri R.; Yafaev, Dmitri
Homepage: https://perso.univ-rennes1.fr/dimitri.yafaev/
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 171 Publications since 1970, including 6 Books
Reviewing Activity: 109 Reviews
all top 5

Serials

11 Journal of Soviet Mathematics
10 St. Petersburg Mathematical Journal
9 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
7 Functional Analysis and its Applications
6 Journal of Functional Analysis
6 Proceedings of the Steklov Institute of Mathematics
5 Annales de l’Institut Henri Poincaré. Physique Théorique
4 Communications in Mathematical Physics
4 Integral Equations and 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 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 Journal of Spectral Theory
2 Translations. Series 2. American Mathematical Society
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Physics
1 Matematicheskie Zametki
1 Arkiv för Matematik
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 Proceedings of the London Mathematical Society. Third Series
1 Revista de la Unión Matemática Argentina
1 Journal of Operator Theory
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 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

118 Publications have been cited 973 times in 655 Documents Cited by Year
Mathematical scattering theory. General theory. Zbl 0761.47001
Yafaev, D. R.
209
1992
Mathematical scattering theory. Analytic theory. Zbl 1197.35006
Yafaev, D. R.
76
2010
Sharp constants in the Hardy-Rellich inequalities. Zbl 0981.26016
Yafaev, D.
63
1999
On the theory of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0342.35041
Yafaev, D. R.
48
1976
Scattering theory: some old and new problems. Zbl 0951.35003
Yafaev, Dmitri
44
2000
The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013
Birman, M. Sh.; Yafaev, D. R.
36
1992
The low energy scattering for slowly decreasing potentials. Zbl 0509.35065
Yafaev, D. R.
31
1982
Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. Zbl 0781.35048
Yafaev, D.
23
1993
On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity. Zbl 1112.35052
Weder, Ricardo; Yafaev, Dimitri
14
2005
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.
13
2003
The scattering amplitude for the Schrödinger equation with a long-range potential. Zbl 0888.35089
Yafaev, D.
11
1998
On a zero-range interaction of a quantum particle with the vacuum. Zbl 0751.47038
Yafaev, D. R.
11
1992
Wave operators for the Schrödinger equation. Zbl 0467.35076
Yafaev, D. R.
11
1981
A trace formula for the Dirac operator. Zbl 1114.47011
Yafaev, D. R.
10
2005
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 quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Zbl 0607.35070
Sobolev, A. V.; Yafaev, D. R.
10
1986
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
On the finiteness of the discrete spectrum of the three-particle Schrödinger operator. Zbl 0412.35031
Jafaev, D. R.
9
1976
Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Zbl 1217.47023
Pushnitski, Alexander; Yafaev, Dmitri
8
2010
High-energy and smoothness asymptotic expansion of the scattering amplitude. Zbl 1045.35059
Yafaev, D.
8
2003
On the classical and quantum Coulomb scattering. Zbl 0926.35107
Yafaev, D.
8
1997
The evolution operator for time-dependent potentials of zero radius. Zbl 0599.35035
Sayapova, M. R.; Yafaev, D. R.
8
1984
Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062
Birman, M. Sh.; Yafaev, D. R.
8
1984
Unbounded Hankel operators and moment problems. Zbl 1348.47004
Yafaev, D. R.
7
2016
Asymptotic behavior of eigenvalues of Hankel operators. Zbl 1338.47025
Pushnitski, Alexander; Yafaev, Dmitri
7
2015
The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. Zbl 1222.47072
Yafaev, D. R.
7
2007
Scattering by magnetic fields. Zbl 1110.47065
Yafaev, D. R.
7
2006
The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064
Birman, M. Sh.; Yafaev, D. R.
7
1981
Spectral theory of piecewise continuous functions of self-adjoint operators. Zbl 1296.47009
Pushnitski, Alexander; Yafaev, Dmitri
6
2014
A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019
Yafaev, D. R.
6
2010
Scattering theory for the Dirac operator with a long-range electromagnetic potential. Zbl 0996.35056
Gâtel, Y.; Yafaev, D.
6
2001
On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050
Gâtel, Yannick; Yafaev, Dimitri
6
1999
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 point spectrum in the quantum-mechanical many-body problem. Zbl 0366.35065
Yafaev, D. R.
6
1977
Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013
Pushnitski, Alexander; Yafaev, Dmitri
5
2017
Sharp estimates for singular values of Hankel operators. Zbl 1329.47031
Pushnitski, Alexander; Yafaev, Dmitri
5
2015
Criteria for Hankel operators to be sign-definite. Zbl 1312.47035
Yafaev, Dimitri R.
5
2015
The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited. Zbl 1248.47015
Yafaev, D. R.
5
2011
New channels in three-body long-range scattering. Zbl 0876.35081
Yafaev, D.
5
1994
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
The virtual level of the Schrödinger equation. Zbl 0401.35038
Yafaev, D. R.
5
1979
On the violation of unitarity in time-dependent potential scattering. Zbl 0435.35064
Yafaev, D. R.
5
1978
A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114
Yafaev, D. R.
4
2019
Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. Zbl 1405.33014
Yafaev, D. R.
4
2018
A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660
Yafaev, D. R.
4
2017
Quasi-Carleman operators and their spectral properties. Zbl 1326.47009
Yafaev, D. R.
4
2015
A trace formula for differential operators of arbitrary order. Zbl 1263.34120
Östensson, J.; Yafaev, D. R.
4
2012
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
The discrete spectrum in the singular Friedrichs model. Zbl 0923.35111
Yafaev, D.
4
1999
Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088
Birman, M. Sh.; Yafaev, D. R.
4
1994
A general scheme in the stationary scattering theory. Zbl 0818.35073
Birman, M. Sh.; Yafaev, D. R.
4
1993
Wave operators for the Schrödinger equation. Zbl 0458.35078
Yafaev, D. R.
4
1980
On the break-down of completeness of wave operators in potential scattering. Zbl 0401.47006
Yafaev, D. R.
4
1979
Negative spectrum of the Schrödinger operational equation. Zbl 0206.44603
Yafaev, D. R.
4
1970
Localization principle for compact Hankel operators. Zbl 1338.47026
Pushnitski, Alexander; Yafaev, Dmitri
3
2016
On finite rank Hankel operators. Zbl 1320.47031
Yafaev, D. R.
3
2015
Diagonalizations of two classes of unbounded Hankel operators. Zbl 1304.47040
Yafaev, D. R.
3
2014
High energy asymptotics of the scattering amplitude for the Schrödinger equation. Zbl 1199.81037
Yafaev, D.
3
2002
Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians. Zbl 0823.47010
Yafaev, D.
3
1995
The nuclear method in potential scattering theory. Zbl 0734.47003
Birman, M. Sh.; Yafaev, D. R.
3
1991
On solutions of the Schrödinger equation with radiation conditions at infinity. Zbl 0753.35022
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
Spectral properties of the Schrödinger operator with a potential having a slow falloff. Zbl 0518.47032
Yafaev, D. R.
3
1983
On the proof of Enss of asymptotic completeness in potential scattering theory. Zbl 0438.47012
Yafaev, D. R.
3
1979
On the virtual state of Schrödinger equation. Zbl 0347.35028
Yafaev, D. R.
3
1975
Quasi-diagonalization of Hankel operators. Zbl 06822165
Yafaev, D. R.
2
2017
Spectral asymptotics for compact self-adjoint Hankel operators. Zbl 1375.47024
Pushnitski, Alexander; Yafaev, Dmitri
2
2016
Spectral and scattering theory of self-adjoint Hankel operators with piecewise continuous symbols. Zbl 1389.47040
Pushnitski, Alexander; Yafaev, Dmitri
2
2015
Spectral and scattering theory for perturbations of the Carleman operator. Zbl 1320.47005
Yafaev, D. R.
2
2014
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
Trace theorems for pseudo-differential operators. Zbl 0908.35145
Lerner, W.; Yafaev, D.
2
1998
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
On the asymptotics of scattering phases for the Schrödinger equation. Zbl 0723.35062
Yafaev, D. R.
2
1990
On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section. Zbl 0698.35116
Yafaev, D. R.
2
1989
The eikonal approximation for the Schrödinger equation. Zbl 0693.35125
Yafaev, D. R.
2
1989
On resonance scattering by a negative potential. Zbl 0557.35094
Yafaev, D. R.
2
1984
Remarks concerning the spectral theory for the Schrödinger operator of multiparticle type. Zbl 0552.35020
Yafaev, D. R.
2
1984
Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0492.35059
Yafaev, D. R.
2
1982
On the asymptotic behavior of solutions of the time-dependent Schrödinger equation. Zbl 0462.35008
Yafaev, D. R.
2
1981
Asymptotic completeness for the multidimensional time-dependent Schrödinger equation. Zbl 0455.35048
Yafaev, D. R.
2
1980
On the finiteness of discrete spectrum of the three-particle Schrödinger operator. Zbl 0322.35022
Yafaev, D. R.
2
1975
A remark concerning the theory of scattering for a perturbed polyharmonic operator. Zbl 0309.47010
Yafaev, D. R.
2
1974
Bemerkung über die Streutheorie für einen gestörten polyharmonischen Operator. Zbl 0302.47007
Yafaev, D. R.
2
1974
Asymptotic behavior of orthogonal polynomials without the Carleman condition. Zbl 1448.33011
Yafaev, D. R.
1
2020
Correction to: Unbounded Hankel operators and moment problems. Zbl 1443.47004
Yafaev, D. R.
1
2019
On semibounded Wiener-Hopf operators. Zbl 06774764
Yafaev, D. R.
1
2017
On semibounded Toeplitz operators. Zbl 1399.47010
Yafaev, D. R.
1
2017
A multichannel scheme in smooth scattering theory. Zbl 1328.47014
Pushnitski, Alexander; Yafaev, Dmitri
1
2013
Inverse scattering at a fixed energy for long-range potentials. Zbl 1125.35115
Weder, Ricardo; Yafaev, Dimitri
1
2007
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
Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. Zbl 0911.00011
Buslaev, V. (ed.); Solomyak, M. (ed.); Yafaev, D. (ed.)
1
1999
Scattering theory: Some old and new problems. Zbl 0896.35097
Yafaev, D.
1
1998
Asymptotic behavior of orthogonal polynomials without the Carleman condition. Zbl 1448.33011
Yafaev, D. R.
1
2020
A note on the Schrödinger operator with a long-range potential. Zbl 1433.34114
Yafaev, D. R.
4
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.
4
2018
Best rational approximation of functions with logarithmic singularities. Zbl 1382.41013
Pushnitski, Alexander; Yafaev, Dmitri
5
2017
A point interaction for the discrete Schrödinger operator and generalized Chebyshev polynomials. Zbl 06747660
Yafaev, D. R.
4
2017
Quasi-diagonalization of Hankel operators. Zbl 06822165
Yafaev, D. R.
2
2017
On semibounded Wiener-Hopf operators. Zbl 06774764
Yafaev, D. R.
1
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
Sharp estimates for singular values of Hankel operators. Zbl 1329.47031
Pushnitski, Alexander; Yafaev, Dmitri
5
2015
Criteria for Hankel operators to be sign-definite. Zbl 1312.47035
Yafaev, Dimitri R.
5
2015
Quasi-Carleman operators and their spectral properties. Zbl 1326.47009
Yafaev, D. R.
4
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.
3
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.
4
2012
The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr-Sommerfeld quantization condition, revisited. Zbl 1248.47015
Yafaev, D. R.
5
2011
Mathematical scattering theory. Analytic theory. Zbl 1197.35006
Yafaev, D. R.
76
2010
Spectral theory of discontinuous functions of self-adjoint operators and scattering theory. Zbl 1217.47023
Pushnitski, Alexander; Yafaev, Dmitri
8
2010
A commutator method for the diagonalization of Hankel operators. Zbl 1271.47019
Yafaev, D. R.
6
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.
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.
10
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.
13
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.
6
2001
Scattering theory: some old and new problems. Zbl 0951.35003
Yafaev, Dmitri
44
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.
63
1999
On solutions of the Schrödinger equation with radiation conditions at infinity: the long-range case. Zbl 0939.35050
Gâtel, Yannick; Yafaev, Dimitri
6
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
Buslaev, V. (ed.); Solomyak, M. (ed.); Yafaev, D. (ed.)
1
1999
The scattering amplitude for the Schrödinger equation with a long-range potential. Zbl 0888.35089
Yafaev, D.
11
1998
Trace theorems for pseudo-differential operators. Zbl 0908.35145
Lerner, W.; Yafaev, D.
2
1998
Scattering theory: Some old and new problems. Zbl 0896.35097
Yafaev, D.
1
1998
On the classical and quantum Coulomb scattering. Zbl 0926.35107
Yafaev, D.
8
1997
New channels in two-body long-range scattering. Zbl 0854.35080
Yafaev, D. R.
1
1996
New channels of scattering for three-body quantum systems with long-range potentials. Zbl 0859.35084
Yafaev, Dimitri
1
1996
Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians. Zbl 0823.47010
Yafaev, D.
3
1995
New channels in three-body long-range scattering. Zbl 0876.35081
Yafaev, D.
5
1994
Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. Zbl 0860.35088
Birman, M. Sh.; Yafaev, D. R.
4
1994
Eigenfunctions of the continuous spectrum for the \(N\)-particle Schrödinger operator. Zbl 0814.35088
Yafaev, D.
1
1994
Radiation conditions and scattering theory for \(N\)-particle Hamiltonians. Zbl 0781.35048
Yafaev, D.
23
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.
209
1992
The spectral shift function. The work of M. G. Krejn and its further development. Zbl 0791.47013
Birman, M. Sh.; Yafaev, D. R.
36
1992
On a zero-range interaction of a quantum particle with the vacuum. Zbl 0751.47038
Yafaev, D. R.
11
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
Radiation conditions and scattering theory for \(N\)-particle Schrödinger operators. Zbl 0784.47017
Yafaev, D.
1
1992
Radiation conditions and scattering theory for \(N\)-particle quantum systems. Zbl 0771.35041
Yafaev, D.
1
1992
On the scattering matrix for perturbations of constant sign. Zbl 0780.47011
Yafaev, D. R.
1
1992
The nuclear method in potential scattering theory. Zbl 0734.47003
Birman, M. Sh.; Yafaev, D. R.
3
1991
On solutions of the Schrödinger equation with radiation conditions at infinity. Zbl 0753.35022
Yafaev, D. R.
3
1991
Spectral properties of the abstract scattering matrix. Zbl 0733.47011
Sobolev, A. V.; Yafaev, D. R.
2
1991
On the asymptotics of scattering phases for the Schrödinger equation. Zbl 0723.35062
Yafaev, D. R.
2
1990
On resonant scattering for time-periodic perturbations. Zbl 0733.35088
Yafaev, D. R.
1
1990
On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section. Zbl 0698.35116
Yafaev, D. R.
2
1989
The eikonal approximation for the Schrödinger equation. Zbl 0693.35125
Yafaev, D. R.
2
1989
On the nuclear method in the theory of potential scattering. Zbl 0725.47009
Birman, M. Sh.; Yafaev, D. R.
1
1989
Quasiclassical asymptotics of the scattering cross-section for the Schrödinger equation. Zbl 0672.35054
Yafaev, D. R.
1
1988
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 quasi-classical limit of the total scattering cross-section in nonrelativistic quantum mechanics. Zbl 0607.35070
Sobolev, A. V.; 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
The evolution operator for time-dependent potentials of zero radius. Zbl 0599.35035
Sayapova, M. R.; Yafaev, D. R.
8
1984
Asymptotic behavior of the spectrum of the scattering matrix. Zbl 0531.35062
Birman, M. Sh.; Yafaev, D. R.
8
1984
Scattering theory for time-dependent zero-range potentials. Zbl 0582.47012
Yafaev, D. R.
3
1984
On resonance scattering by a negative potential. Zbl 0557.35094
Yafaev, D. R.
2
1984
Remarks concerning the spectral theory for the Schrödinger operator of multiparticle type. Zbl 0552.35020
Yafaev, D. R.
2
1984
Spectral properties of the Schrödinger operator with a potential having a slow falloff. Zbl 0518.47032
Yafaev, D. R.
3
1983
The virial theorem and conditions of unitarity of wave operators in scattering on a time-dependent potential. Zbl 0522.35071
Yafaev, D. R.
1
1983
Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0522.35070
Yafaev, D. R.
1
1983
The low energy scattering for slowly decreasing potentials. Zbl 0509.35065
Yafaev, D. R.
31
1982
Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. Zbl 0492.35059
Yafaev, D. R.
2
1982
Scattering theory for periodic in time zero radius potentials. Zbl 0513.35064
Sayapova, M. R.; Yafaev, D. R.
1
1982
Wave operators for the Schrödinger equation. Zbl 0467.35076
Yafaev, D. R.
11
1981
The asymptotics of the spectrum of the scattering matrix. Zbl 0501.35064
Birman, M. Sh.; Yafaev, D. R.
7
1981
On the asymptotic behavior of solutions of the time-dependent Schrödinger equation. Zbl 0462.35008
Yafaev, D. R.
2
1981
...and 18 more Documents
all top 5

Cited by 607 Authors

41 Yafaev, Dimitri R.
26 Pushnitski, Alexander B.
19 Gesztesy, Fritz
15 Weder, Ricardo A.
13 Lakaev, Saidakhmat Norzhigitovich
13 Sukochev, Fedor Anatol’evich
12 Richard, Serge
11 Frank, Rupert L.
11 Nakamura, Shu
11 Neidhardt, Hagen
11 Wang, Xueping
10 Jensen, Arne
10 Skibsted, Erik
9 Albeverio, Sergio A.
9 Behrndt, Jussi
9 Tiedra de Aldecoa, Rafael
8 Makarov, Konstantin A.
8 Malamud, Mark M.
8 Potapov, Denis
8 Skripka, Anna
8 Tamura, Hideo
8 Yafaev, Dmitri R.
7 Ballesteros, Miguel
7 Cornean, Horia D.
7 Dereziński, Jan
7 Hislop, Peter D.
7 Mantile, Andrea
7 Muminov, Mukhiddin Èshkobilovich
7 Muminov, Zahriddin Ishkobilovich
7 Sigal, Israel Michael
6 Adachi, Tadayoshi
6 Bruneau, Vincent
6 Carey, Alan L.
6 Christiansen, Tanya J.
6 Figari, Rodolfo
6 Gérard, Christian
6 Isozaki, Hiroshi
6 Nicoleau, François
6 Safronov, Oleg
6 Teta, Alessandro
5 Birman, Mikhail Shlëmovich
5 Daudé, Thierry
5 Dell’Antonio, Gian Fausto
5 Korotyaev, Evgeny L.
5 Nenciu, Gheorghe
5 Nichols, Roger
5 Novikov, Roman G.
5 Popoff, Nicolas
5 Posilicano, Andrea
5 Pupyshev, Vasiliĭ Veniaminovitch
5 Rasulov, Tulkin Khusenovich
5 Sobolev, Alexander V.
4 Denisov, Sergey A.
4 Eskin, Gregory
4 Faupin, Jérémy
4 Fujiié, Setsuro
4 Gebert, Martin
4 Hassell, Andrew
4 Holzmann, Markus
4 Klopp, Frédéric
4 Kostrykin, Vadim V.
4 Laptev, Ari
4 Latushkin, Yuri
4 Levitina, Galina
4 Lewis, Roger T.
4 Martinez, André
4 Naboko, Serguei N.
4 Peral Alonso, Ireneo
4 Pillet, Claude-Alain
4 Raikov, Georgi D.
4 Salo, Mikko
4 Simon, Barry
4 Tumulka, Roderich
4 Usman, Muhammad
4 Yang, Jianfu
3 Abdellaoui, Boumediene
3 Akchurin, E. R.
3 Aschbacher, Walter H.
3 Azamov, Nurulla A.
3 Beckner, William
3 Bouclet, Jean-Marc
3 Ciaurri, Óscar
3 Datchev, Kiril R.
3 Dimassi, Mouez
3 Evans, William Desmond
3 Fall, Mouhamed Moustapha
3 Gell-Redman, Jesse
3 Gridnev, Dmitry K.
3 Ito, Hiroshi T.
3 Ito, Kenichi
3 Khurramov, Abdumazhid Molikovich
3 Lampart, Jonas
3 Lewin, Mathieu
3 Lieb, Elliott H.
3 Lotoreichik, Vladimir
3 Minlos, Robert Adol’fovich
3 Morioka, Hisashi
3 Nguyễn Văn Hoàng
3 Ozawa, Tohru
3 Peller, Vladimir Vsevolodovich
...and 507 more Authors
all top 5

Cited in 135 Serials

71 Journal of Functional Analysis
51 Journal of Mathematical Physics
47 Communications in Mathematical Physics
33 Annales Henri Poincaré
26 Journal of Mathematical Analysis and Applications
26 Theoretical and Mathematical Physics
22 Reviews in Mathematical Physics
21 Integral Equations and Operator Theory
20 Communications in Partial Differential Equations
20 Annales de l’Institut Henri Poincaré. Physique Théorique
12 St. Petersburg Mathematical Journal
11 Letters in Mathematical Physics
11 Duke Mathematical Journal
11 Journal of Differential Equations
10 Functional Analysis and its Applications
10 Journal of Soviet Mathematics
10 Mathematical Physics, Analysis and Geometry
9 Journal d’Analyse Mathématique
9 Transactions of the American Mathematical Society
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
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
5 Journal of Mathematical Sciences (New York)
4 Arkiv för Matematik
4 Mathematische Zeitschrift
4 Proceedings of the American Mathematical Society
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Statistical Physics
3 Physics Letters. A
3 Reports on Mathematical Physics
3 Russian Mathematical Surveys
3 Ukrainian Mathematical Journal
3 Annales de l’Institut Fourier
3 Mathematische Nachrichten
3 Transactions of the Moscow Mathematical Society
3 Russian Mathematics
3 Russian Journal of Mathematical Physics
3 Bulletin des Sciences Mathématiques
3 Journal of Physics A: Mathematical and Theoretical
3 Bulletin of Mathematical Sciences
2 Archive for Rational Mechanics and Analysis
2 International Journal of Theoretical Physics
2 Mathematical Methods in the Applied Sciences
2 Journal of Approximation Theory
2 Manuscripta Mathematica
2 Mathematische Annalen
2 Osaka Journal of Mathematics
2 Siberian Mathematical Journal
2 Constructive Approximation
2 Forum Mathematicum
2 The Journal of Geometric Analysis
2 Annals of Physics
2 Linear Algebra and its Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Mathematical Analysis
2 Topological Methods in Nonlinear Analysis
2 Calculus of Variations and Partial Differential Equations
2 Opuscula Mathematica
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 Advanced Nonlinear Studies
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 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 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Annals of Global Analysis and Geometry
1 Physica D
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Journal of Integral Equations and Applications
1 Sugaku Expositions
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
...and 35 more Serials
all top 5

Cited in 41 Fields

345 Quantum theory (81-XX)
342 Partial differential equations (35-XX)
301 Operator theory (47-XX)
53 Ordinary differential equations (34-XX)
49 Functional analysis (46-XX)
42 Statistical mechanics, structure of matter (82-XX)
36 Global analysis, analysis on manifolds (58-XX)
27 Real functions (26-XX)
20 Mechanics of particles and systems (70-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
18 Optics, electromagnetic theory (78-XX)
15 Special functions (33-XX)
15 Difference and functional equations (39-XX)
14 Probability theory and stochastic processes (60-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Approximations and expansions (41-XX)
7 Fluid mechanics (76-XX)
6 History and biography (01-XX)
6 Functions of a complex variable (30-XX)
6 Differential geometry (53-XX)
6 Relativity and gravitational theory (83-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Integral equations (45-XX)
5 Numerical analysis (65-XX)
4 Integral transforms, operational calculus (44-XX)
3 Combinatorics (05-XX)
3 Potential theory (31-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Abstract harmonic analysis (43-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Mechanics of deformable solids (74-XX)
3 Information and communication theory, circuits (94-XX)
2 Number theory (11-XX)
2 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 Topological groups, Lie groups (22-XX)
2 Astronomy and astrophysics (85-XX)
1 Associative rings and algebras (16-XX)
1 \(K\)-theory (19-XX)
1 Manifolds and cell complexes (57-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

Wikidata Timeline

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