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Yafaev, Dmitrii Rauel'evich
(1948–2024)
Statistics Math-Net.Ru
Total publications: 67
Scientific articles: 61

Number of views:
This page:4482
Abstract pages:24339
Full texts:8779
References:1854
Professor
Birth date: 2.01.1948
Website: http://perso.univ-rennes1.fr/dimitri.yafaev/

https://www.mathnet.ru/eng/person19586
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195964
https://elibrary.ru/author_items.asp?authorid=1065013

Publications in Math-Net.Ru Citations
2021
1. D. R. Yafaev, “Universal relations in asymptotic formulas for orthogonal polynomials”, Funktsional. Anal. i Prilozhen., 55:2 (2021),  77–99  mathnet  elib; Funct. Anal. Appl., 55:2 (2021), 140–158  isi  scopus 1
2. Dmitri R. Yafaev, “Second-Order Differential Operators in the Limit Circle Case”, SIGMA, 17 (2021), 077, 13 pp.  mathnet  isi  scopus 1
2018
3. D. R. Yafaev, “A new representation of Hankel operators and its spectral consequences”, Algebra i Analiz, 30:3 (2018),  286–310  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:3 (2019), 601–619  isi  scopus
2017
4. 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 5
2013
5. 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 7
2011
6. 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 1
2010
7. 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 14
8. 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 16
2007
9. 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 17
2005
10. 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 18
1999
11. 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 5
1996
12. 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 2
1994
13. 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 4
1992
14. 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 11
15. 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), 833–870 102
1990
16. 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
17. 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 1
1989
18. 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
19. 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 5
1988
20. 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
21. 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
22. D. R. Yafaev, “Quasiclassical asymptotics of the scattering amplitude and cross section”, Dokl. Akad. Nauk SSSR, 292:2 (1987),  334–337  mathnet  mathscinet  zmath
23. D. R. Yafaev, “Eikonal approximation for fast-decreasing potentials. I”, Zap. Nauchn. Sem. LOMI, 163 (1987),  166–185  mathnet  zmath
1986
24. 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 1
1985
25. 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 1
1984
26. D. R. Yafaev, “On resonant scattering by a negative potential”, Zap. Nauchn. Sem. LOMI, 138 (1984),  184–193  mathnet  mathscinet  zmath 1
27. 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
28. 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
29. 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
30. D. R. Yafaev, “Dissipation at low energies for slowly decreasing potentials”, Dokl. Akad. Nauk SSSR, 263:3 (1982),  586–590  mathnet  mathscinet
31. 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 1
32. 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 7
33. 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 11
34. 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 2
1981
35. 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 3
36. 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
37. 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 17
1980
38. 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 4
39. D. R. Yafaev, “Asymptotic completeness for the multidimensional time-dependent Schrödinger equation”, Dokl. Akad. Nauk SSSR, 251:4 (1980),  812–816  mathnet  mathscinet  zmath 3
40. 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 4
41. 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 5
42. 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 1
43. 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
44. 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 11
45. 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 3
1978
46. 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 4
47. 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 9
48. 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 13
1977
49. 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 1
50. 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 5
51. 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 3
1976
52. 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 17
53. 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 8
1975
54. 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 20
55. D. R. Yafaev, “On the virtual state of Schrödinger equation”, Zap. Nauchn. Sem. LOMI, 51 (1975),  203–216  mathnet  mathscinet  zmath 6
1974
56. 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 5
57. 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), 535–559 101
1972
58. D. R. Yafaev, “The discrete spectrum of the three-particle Schrödinger operator”, Dokl. Akad. Nauk SSSR, 206:1 (1972),  68–70  mathnet  mathscinet 10
59. 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 15
60. 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 8
1970
61. 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 4
2017
62. 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  zmath  elib; Russian Math. Surveys, 72:5 (2017), 955–961  isi
2010
63. 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 1
2004
64. 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 1
2000
65. 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 2
1989
66. 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
67. 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 2

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