RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 
Yafaev, Dmitrii Rauel'evich

Statistics Math-Net.Ru
Total publications: 65
Scientific articles: 59

Number of views:
This page:2404
Abstract pages:15797
Full texts:5201
References:1100
Professor
E-mail: ,
Website: http://perso.univ-rennes1.fr/dimitri.yafaev/

http://www.mathnet.ru/eng/person19586
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195964

Publications in Math-Net.Ru
2018
1. D. R. Yafaev, “A new representation of Hankel operators and its spectral consequences”, Algebra i Analiz, 30:3 (2018),  286–310  mathnet  elib
2017
2. D. R. Yafaev, “Passage through a potential barrier and multiple wells”, Algebra i Analiz, 29:2 (2017),  242–273  mathnet  mathscinet  elib; St. Petersburg Math. J., 29:2 (2018), 399–422  isi  scopus
2013
3. D. R. Yafaev, “Spectral and scattering theory for perturbations of the Carleman operator”, Algebra i Analiz, 25:2 (2013),  251–278  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 25:2 (2014), 339–359  isi  scopus
2011
4. M. Z. Solomyak, T. A. Suslina, D. R. Yafaev, “On the mathematical works of M. Sh. Birman”, Algebra i Analiz, 23:1 (2011),  5–60  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:1 (2012), 1–38  isi  scopus
2010
5. D. R. Yafaev, “The semiclassical limit of eigenfunctions of the Schrödinger equation and the Bohr–Sommerfeld quantization condition, revisited”, Algebra i Analiz, 22:6 (2010),  270–291  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:6 (2011), 1051–1067  isi  scopus
6. D. R. Yafaev, “A Commutator Method for the Diagonalization of Hankel Operators”, Funktsional. Anal. i Prilozhen., 44:4 (2010),  65–79  mathnet  mathscinet  zmath; Funct. Anal. Appl., 44:4 (2010), 295–306  isi  scopus
2007
7. D. R. Yafaev, “The Schrödinger Operator: Perturbation Determinants, the Spectral Shift Function, Trace Identities, and All That”, Funktsional. Anal. i Prilozhen., 41:3 (2007),  60–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 41:3 (2007), 217–236  isi  scopus
2005
8. D. R. Yafaev, “Scattering on magnetic fields”, Algebra i Analiz, 17:5 (2005),  244–272  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:5 (2006), 875–895
1999
9. D. R. Yafaev, “A class of pseudodifferential operators with oscillating symbols”, Algebra i Analiz, 11:2 (1999),  218–256  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:2 (2000), 375–403
1996
10. D. R. Yafaev, “New scattering channels in a two-body system with slowly decreasing interaction”, Algebra i Analiz, 8:1 (1996),  211–236  mathnet  mathscinet  zmath; St. Petersburg Math. J., 8:1 (1997), 165–182
1994
11. M. Sh. Birman, D. R. Yafaev, “The scattering matrix for a perturbation of a periodic Schrödinger operator by decreasing potential”, Algebra i Analiz, 6:3 (1994),  17–39  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:3 (1995), 453–474
1992
12. M. Sh. Birman, D. R. Yafaev, “Spectral properties of the scattering matrix”, Algebra i Analiz, 4:6 (1992),  1–27  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:6 (1993), 1055–1079
13. M. Sh. Birman, D. R. Yafaev, “The spectral shift function. The papers of M. G. Krein and their further development”, Algebra i Analiz, 4:5 (1992),  1–44  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:5 (1993), 833–870
1990
14. D. R. Yafaev, “Asymptotic of the limit phases in a problem of potential scattering”, Funktsional. Anal. i Prilozhen., 24:4 (1990),  94–95  mathnet  mathscinet  zmath; Funct. Anal. Appl., 24:4 (1990), 344–346  isi
15. A. V. Sobolev, D. R. Yafaev, “Spectral properties of an abstract scattering matrix”, Trudy Mat. Inst. Steklov., 188 (1990),  125–149  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 188 (1991), 159–189
1989
16. A. V. Sobolev, D. R. Yafaev, “Spectral properties of the scattering matrix”, Funktsional. Anal. i Prilozhen., 23:3 (1989),  88–89  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:3 (1989), 249–251  isi
17. M. Sh. Birman, D. R. Yafaev, “On the trace-class method in potential scattering theory”, Zap. Nauchn. Sem. LOMI, 171 (1989),  12–35  mathnet  mathscinet  zmath; J. Soviet Math., 56:2 (1991), 2285–2299
1988
18. D. R. Yafaev, “Quasiclassical asymptotics of the scattering cross-section for the Schrödinger equation”, Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988),  139–163  mathnet  mathscinet  zmath; Math. USSR-Izv., 32:1 (1989), 141–165
19. D. R. Yafaev, “Eikonal approximation for the Schrödinger equation”, Trudy Mat. Inst. Steklov., 179 (1988),  226–240  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 179 (1989), 251–266
1987
20. D. R. Yafaev, “Quasiclassical asymptotics of the scattering amplitude and cross section”, Dokl. Akad. Nauk SSSR, 292:2 (1987),  334–337  mathnet  mathscinet  zmath
21. D. R. Yafaev, “Eikonal approximation for fast-decreasing potentials. I”, Zap. Nauchn. Sem. LOMI, 163 (1987),  166–185  mathnet  zmath
1986
22. D. R. Yafaev, “Scattering theory in a pair of spaces”, Funktsional. Anal. i Prilozhen., 20:2 (1986),  94–95  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:2 (1986), 168–170  isi
1985
23. A. V. Sobolev, D. R. Yafaev, “Phase analysis in the problem of scattering by a radial potential”, Zap. Nauchn. Sem. LOMI, 147 (1985),  155–178  mathnet  mathscinet  zmath
1984
24. D. R. Yafaev, “On resonant scattering by a negative potential”, Zap. Nauchn. Sem. LOMI, 138 (1984),  184–193  mathnet  mathscinet  zmath
25. D. R. Yafaev, “Remarks on the spectral theory for the Schrodinger operator of multiparticle type”, Zap. Nauchn. Sem. LOMI, 133 (1984),  277–298  mathnet  mathscinet  zmath
1983
26. D. R. Yafaev, “The virial theorem and conditions for wave operators to be unitary in scattering by a nonstationary potential”, Trudy Mat. Inst. Steklov., 159 (1983),  210–217  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 159 (1984), 219–226
27. M. R. Sayapova, D. R. Yafaev, “The evolution operator for time-dependent potentials of zero radius”, Trudy Mat. Inst. Steklov., 159 (1983),  167–174  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 159 (1984), 173–180
1982
28. D. R. Yafaev, “Dissipation at low energies for slowly decreasing potentials”, Dokl. Akad. Nauk SSSR, 263:3 (1982),  586–590  mathnet  mathscinet
29. D. R. Yafaev, “Spectral properties of the Schrödinger operator with a potential having a slow falloff”, Funktsional. Anal. i Prilozhen., 16:4 (1982),  47–54  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:4 (1982), 280–286  isi
30. D. R. Yafaev, “Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation”, Mat. Sb. (N.S.), 118(160):2(6) (1982),  262–279  mathnet  mathscinet  zmath; Math. USSR-Sb., 46:2 (1983), 267–283
31. M. Sh. Birman, D. R. Yafaev, “Asymptotic behavior of the limiting phase shifts in the case of scattering by a potential without spherical symmetry”, TMF, 51:1 (1982),  44–53  mathnet  mathscinet; Theoret. and Math. Phys., 51:1 (1982), 344–350  isi
32. D. R. Yafaev, “Nonstationary scattering theory for elliptic differential operators”, Zap. Nauchn. Sem. LOMI, 115 (1982),  285–300  mathnet  mathscinet  zmath; J. Soviet Math., 28:5 (1985), 814–824
1981
33. D. R. Yafaev, “Faster-than-power decrease in time of solutions of the Schrödinger equation”, Dokl. Akad. Nauk SSSR, 258:4 (1981),  850–853  mathnet  mathscinet  zmath
34. D. R. Yafaev, “Counterexample to a uniqueness theorem foranalytic operator functions”, Zap. Nauchn. Sem. LOMI, 113 (1981),  261–263  mathnet  mathscinet  zmath; J. Soviet Math., 22:6 (1983), 1872–1874
35. M. Sh. Birman, D. R. Yafaev, “Asymptotics of the spectrum of the scattering matrix”, Zap. Nauchn. Sem. LOMI, 110 (1981),  3–29  mathnet  mathscinet  zmath; J. Soviet Math., 25:1 (1984), 793–814
1980
36. M. Sh. Birman, D. R. Yafaev, “Asymptotics of the spectrum of the $S$-matrix in potential scattering”, Dokl. Akad. Nauk SSSR, 255:5 (1980),  1085–1087  mathnet  mathscinet
37. D. R. Yafaev, “Asymptotic completeness for the multidimensional time-dependent Schrödinger equation”, Dokl. Akad. Nauk SSSR, 251:4 (1980),  812–816  mathnet  mathscinet  zmath
38. D. R. Yafaev, “Conditions for the unitarity of wave operators under a scattering by a nonstationary potential”, Funktsional. Anal. i Prilozhen., 14:4 (1980),  91–92  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:4 (1980), 325–326  isi
39. D. R. Yafaev, “On the asymptotic behavior of solutions of the time-dependent Schrödinger equation”, Mat. Sb. (N.S.), 111(153):2 (1980),  187–208  mathnet  mathscinet  zmath; Math. USSR-Sb., 39:2 (1981), 169–188  isi
40. D. R. Yafaev, “A trace formula in Friedrichs' multichannel model”, Trudy Mat. Inst. Steklov., 147 (1980),  194–201  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 147 (1981), 205–213
41. V. G. Deich, D. R. Yafaev, “Spectral theory and scattering for the d'Alembert operator with vector potential”, Trudy Mat. Inst. Steklov., 147 (1980),  5–13  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 147 (1981), 1–9
42. D. R. Yafaev, “Wave operators for the Schrödinger equation”, TMF, 45:2 (1980),  224–234  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 45:2 (1980), 992–998  isi
43. D. R. Yafaev, ““Eigenfunctions” of the nonstationary Schrödinger equation”, TMF, 43:2 (1980),  228–239  mathnet  mathscinet; Theoret. and Math. Phys., 43:2 (1980), 428–436  isi
1978
44. D. R. Yafaev, “On the violation of unitarity in time-dependent potential scattering”, Dokl. Akad. Nauk SSSR, 243:5 (1978),  1150–1153  mathnet  mathscinet  zmath
45. D. R. Yafaev, “On the singular spectrum in a system of three particles”, Mat. Sb. (N.S.), 106(148):4(8) (1978),  622–640  mathnet  mathscinet  zmath; Math. USSR-Sb., 35:2 (1979), 283–300  isi
46. D. R. Yafaev, “Theory of multichannel scattering in two spaces”, TMF, 37:1 (1978),  48–57  mathnet  mathscinet; Theoret. and Math. Phys., 37:1 (1978), 867–874
1977
47. V. G. Deich, E. L. Korotyaev, D. R. Yafaev, “Potential scattering taking account of spatial anisotropy”, Dokl. Akad. Nauk SSSR, 235:4 (1977),  749–752  mathnet  mathscinet  zmath
48. V. G. Deich, E. L. Korotyaev, D. R. Yafaev, “Theory of potential scattering, taking into account spatial anisotropy”, Zap. Nauchn. Sem. LOMI, 73 (1977),  35–51  mathnet  mathscinet  zmath; J. Soviet Math., 34:6 (1986), 2040–2050
49. E. L. Korotyaev, D. R. Yafaev, “Traces on surfaces for function classes with dominant mixed derivatives”, Zap. Nauchn. Sem. LOMI, 69 (1977),  106–123  mathnet  mathscinet  zmath; J. Soviet Math., 10:1 (1978), 73–86
1976
50. D. R. Yafaev, “On the point spectrum in the quantum-mechanical many-body problem”, Izv. Akad. Nauk SSSR Ser. Mat., 40:4 (1976),  908–948  mathnet  mathscinet  zmath; Math. USSR-Izv., 10:4 (1976), 861–896
51. D. R. Yafaev, “On the number of discrete levels in the quantum problem of three particles”, TMF, 27:1 (1976),  55–66  mathnet  mathscinet; Theoret. and Math. Phys., 27:1 (1976), 328–335
1975
52. D. R. Yafaev, “On the finiteness of the discrete spectrum of the three-particle Schrödinger operator”, TMF, 25:2 (1975),  185–195  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 25:2 (1975), 1065–1072
53. D. R. Yafaev, “On the virtual state of Schrödinger equation”, Zap. Nauchn. Sem. LOMI, 51 (1975),  203–216  mathnet  mathscinet  zmath
1974
54. D. R. Yafaev, “A remark concerning the theory of scattering for a perturbed polyharmonic operator”, Mat. Zametki, 15:3 (1974),  445–454  mathnet  mathscinet  zmath; Math. Notes, 15:3 (1974), 260–265
55. D. R. Yafaev, “On the theory of the discrete spectrum of the three-particle Schrödinger operator”, Mat. Sb. (N.S.), 94(136):4(8) (1974),  567–593  mathnet  mathscinet  zmath; Math. USSR-Sb., 23:4 (1974), 535–559
1972
56. D. R. Yafaev, “The discrete spectrum of the three-particle Schrödinger operator”, Dokl. Akad. Nauk SSSR, 206:1 (1972),  68–70  mathnet  mathscinet
57. D. R. Yafaev, “The point spectrum in the quantum-mechanical problem of many particles”, Funktsional. Anal. i Prilozhen., 6:4 (1972),  103–104  mathnet  mathscinet; Funct. Anal. Appl., 6:4 (1972), 349–350
58. D. R. Yafaev, “Trace formulas for charged particles in nonrelativistic quantum mechanics”, TMF, 11:1 (1972),  78–92  mathnet  mathscinet; Theoret. and Math. Phys., 11:1 (1972), 358–369
1970
59. D. R. Yafaev, “Negative spectrum of the Schrödinger operational equation”, Mat. Zametki, 7:6 (1970),  753–763  mathnet  mathscinet  zmath; Math. Notes, 7:6 (1970), 451–457

2017
60. A. M. Vershik, E. D. Gluskin, V. A. Kozlov, A. A. Laptev, B. M. Makarov, B. S. Mityagin, P. Nevai, G. V. Rozenblum, T. A. Suslina, N. N. Ural'tseva, D. R. Yafaev, “Mikhail Zakharovich Solomyak (obituary)”, Uspekhi Mat. Nauk, 72:5(437) (2017),  181–186  mathnet  mathscinet  elib; Russian Math. Surveys, 72:5 (2017), 955–961  isi
2010
61. V. M. Babich, V. S. Buslaev, A. M. Vershik, S. G. Gindikin, S. V. Kislyakov, A. A. Laptev, V. A. Marchenko, N. K. Nikol'skii, L. A. Pastur, B. A. Plamenevskii, M. Z. Solomyak, T. A. Suslina, N. N. Ural'tseva, L. D. Faddeev, V. P. Khavin, D. R. Yafaev, “Mikhail Shlemovich Birman (obituary)”, Uspekhi Mat. Nauk, 65:3(393) (2010),  185–190  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 65:3 (2010), 569–575  isi
2004
62. V. S. Buslaev, M. Z. Solomyak, D. R. Yafaev, “Mikhail Shlemovich Birman (on the Occasion of his 75th Birthday)”, Algebra i Analiz, 16:1 (2004),  5–14  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:1 (2005), 1–8
2000
63. V. S. Buslaev, A. M. Vershik, I. M. Gel'fand, S. G. Gindikin, O. A. Ladyzhenskaya, M. Z. Solomyak, L. D. Faddeev, D. R. Yafaev, “Mikhail Shlyomovich Birman (on his 70th birthday)”, Uspekhi Mat. Nauk, 55:1(331) (2000),  204–207  mathnet  mathscinet  zmath; Russian Math. Surveys, 55:1 (2000), 201–205  isi
1989
64. D. R. Yafaev, “Schrödinger Operators with Application to Quantum Mechanics and Global Geometry. H. L. Cycon, R. G. Froese, W. Kirsch, B. Simon. Berlin etc.: Springer, 1987. 319 p.”, Algebra i Analiz, 1:3 (1989),  227–232  mathnet  mathscinet  zmath
1988
65. V. S. Buslaev, I. M. Gel'fand, O. A. Ladyzhenskaya, B. S. Pavlov, M. Z. Solomyak, L. D. Faddeev, D. R. Yafaev, “Mikhail Shlëmovich Birman (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 43:3(261) (1988),  201–202  mathnet  mathscinet; Russian Math. Surveys, 43:3 (1988), 233–235  isi

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019