Yafaev, D. R. Spectral analysis of Jacobi operators and asymptotic behavior of orthogonal polynomials. (English) Zbl 1527.33007 Bull. Math. Sci. 12, No. 3, Article ID 2250002, 89 p. (2022). MSC: 33C45 47B36 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Bull. Math. Sci. 12, No. 3, Article ID 2250002, 89 p. (2022; Zbl 1527.33007) Full Text: DOI arXiv
Yafaev, D. R. Semiclassical asymptotic behavior of orthogonal polynomials. (English) Zbl 1460.33014 Lett. Math. Phys. 110, No. 11, 2857-2891 (2020). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Lett. Math. Phys. 110, No. 11, 2857--2891 (2020; Zbl 1460.33014) Full Text: DOI arXiv
Yafaev, D. R. Asymptotic behavior of orthogonal polynomials without the Carleman condition. (English) Zbl 1448.33011 J. Funct. Anal. 279, No. 7, Article ID 108648, 36 p. (2020). Reviewer: Leonid Golinskii (Kharkov) MSC: 33C45 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, J. Funct. Anal. 279, No. 7, Article ID 108648, 36 p. (2020; Zbl 1448.33011) Full Text: DOI arXiv
Yafaev, D. R. A new representation of Hankel operators and its spectral consequences. (English) Zbl 1486.47058 St. Petersbg. Math. J. 30, No. 3, 601-619 (2019) and Algebra Anal. 30, No. 3, 286-310 (2018). MSC: 47B35 47A40 47B06 47B25 47G30 PDFBibTeX XMLCite \textit{D. R. Yafaev}, St. Petersbg. Math. J. 30, No. 3, 601--619 (2019; Zbl 1486.47058) Full Text: DOI arXiv
Yafaev, D. R. Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. (English) Zbl 1405.33014 Rev. Math. Phys. 30, No. 8, Article ID 1840019, 47 p. (2018). MSC: 33C45 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Rev. Math. Phys. 30, No. 8, Article ID 1840019, 47 p. (2018; Zbl 1405.33014) Full Text: DOI
Yafaev, D. R. Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials. (English) Zbl 1397.81067 Ge, Mo-Lin (ed.) et al., Ludwig Faddeev memorial volume. A life in mathematical physics. Hackensack, NJ: World Scientific (ISBN 978-981-3233-76-8/hbk; 978-981-3233-87-4/ebook). 567-613 (2018). MSC: 81Q05 39A12 81U20 81Q10 33C45 39A70 47A40 47B39 PDFBibTeX XMLCite \textit{D. R. Yafaev}, in: Ludwig Faddeev memorial volume. A life in mathematical physics. Hackensack, NJ: World Scientific. 567--613 (2018; Zbl 1397.81067) Full Text: DOI arXiv
Pushnitski, Alexander; Yafaev, Dmitri Best rational approximation of functions with logarithmic singularities. (English) Zbl 1382.41013 Constr. Approx. 46, No. 2, 243-269 (2017). Reviewer: Vladimir V. Peller (East Lansing) MSC: 41A20 47B06 47B35 PDFBibTeX XMLCite \textit{A. Pushnitski} and \textit{D. Yafaev}, Constr. Approx. 46, No. 2, 243--269 (2017; Zbl 1382.41013) Full Text: DOI arXiv
Pushnitski, Alexander; Yafaev, Dmitri Spectral asymptotics for compact self-adjoint Hankel operators. (English) Zbl 1375.47024 J. Spectr. Theory 6, No. 4, 921-953 (2016). MSC: 47B35 47B06 PDFBibTeX XMLCite \textit{A. Pushnitski} and \textit{D. Yafaev}, J. Spectr. Theory 6, No. 4, 921--953 (2016; Zbl 1375.47024) Full Text: DOI arXiv
Pushnitski, Alexander; Yafaev, Dmitri Localization principle for compact Hankel operators. (English) Zbl 1338.47026 J. Funct. Anal. 270, No. 9, 3591-3621 (2016). MSC: 47B35 47B06 PDFBibTeX XMLCite \textit{A. Pushnitski} and \textit{D. Yafaev}, J. Funct. Anal. 270, No. 9, 3591--3621 (2016; Zbl 1338.47026) Full Text: DOI arXiv
Yafaev, D. R. Diagonalizations of two classes of unbounded Hankel operators. (English) Zbl 1304.47040 Bull. Math. Sci. 4, No. 2, 175-198 (2014). MSC: 47B35 47B25 35P20 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Bull. Math. Sci. 4, No. 2, 175--198 (2014; Zbl 1304.47040) Full Text: DOI arXiv
Solomyak, M. Z.; Suslina, T. A.; Yafaev, D. R. On the mathematical work of M. Sh. Birman. (English. Russian original) Zbl 1236.01029 St. Petersbg. Math. J. 23, No. 1, 1-38 (2012); translation from Algebra Anal. 23, No. 1, 5-60 (2011). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01A70 35-03 47-03 47A10 46Exx 47N20 35P25 35Q61 35Qxx PDFBibTeX XMLCite \textit{M. Z. Solomyak} et al., St. Petersbg. Math. J. 23, No. 1, 1--38 (2012; Zbl 1236.01029); translation from Algebra Anal. 23, No. 1, 5--60 (2011) Full Text: DOI
Yafaev, D. R. The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that. (English) Zbl 1222.47072 Funct. Anal. Appl. 41, No. 3, 217-236 (2007); translation from Funkts. Anal. Prilozh. 41, No. 3, 60-83 (2007). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 47F05 35P20 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Funct. Anal. Appl. 41, No. 3, 217--236 (2007; Zbl 1222.47072); translation from Funkts. Anal. Prilozh. 41, No. 3, 60--83 (2007) Full Text: DOI
Yafaev, D. High-energy and smoothness asymptotic expansion of the scattering amplitude. (English) Zbl 1045.35059 J. Funct. Anal. 202, No. 2, 526-570 (2003). Reviewer: Roger G. Newton (Bloomington) MSC: 35Q40 81U05 35P25 PDFBibTeX XMLCite \textit{D. Yafaev}, J. Funct. Anal. 202, No. 2, 526--570 (2003; Zbl 1045.35059) Full Text: DOI
Gâtel, Y.; Yafaev, D. Scattering theory for the Dirac operator with a long-range electromagnetic potential. (English) Zbl 0996.35056 J. Funct. Anal. 184, No. 1, 136-176 (2001). Reviewer: Roger G.Newton (Bloomington) MSC: 35Q40 81U05 35P25 35S15 PDFBibTeX XMLCite \textit{Y. Gâtel} and \textit{D. Yafaev}, J. Funct. Anal. 184, No. 1, 136--176 (2001; Zbl 0996.35056) Full Text: DOI
Birman, M. Sh.; Yafaev, D. R. Scattering matrix for the perturbation of a periodic Schrödinger operator by a decaying potential. (English. Russian original) Zbl 0860.35088 St. Petersbg. Math. J. 6, No. 3, 453-474 (1995); translation from Algebra Anal. 6, No. 3, 17-39 (1994). Reviewer: B.Pavlov (Auckland) MSC: 35P25 47A40 35J10 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{D. R. Yafaev}, St. Petersbg. Math. J. 6, No. 3, 17--39 (1994; Zbl 0860.35088); translation from Algebra Anal. 6, No. 3, 17--39 (1994)
Yafaev, D. R. Eikonal approximation for fast-decreasing potentials. I. (English. Russian original) Zbl 0695.35052 J. Sov. Math. 49, No. 5, 1225-1236 (1990); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 166-185 (1987). MSC: 35J10 35B40 81U05 PDFBibTeX XMLCite \textit{D. R. Yafaev}, J. Sov. Math. 49, No. 5, 1225--1236 (1990; Zbl 0695.35052); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 163, 166--185 (1987) Full Text: DOI EuDML
Yafaev, D. R. On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section. (English) Zbl 0698.35116 Sémin. Équations Dériv. Partielles 1988-1989, Exp. No. 7, 10 p. (1989). Reviewer: W.Wendt MSC: 35P25 35J10 35B40 81U05 PDFBibTeX XML Full Text: Numdam EuDML
Sobolev, A. V.; Yafaev, D. R. Phase analysis in the problem of scattering by a radial potential. (English) Zbl 0616.47010 J. Sov. Math. 37, 888-902 (1987). MSC: 47A40 35P20 81U99 PDFBibTeX XMLCite \textit{A. V. Sobolev} and \textit{D. R. Yafaev}, J. Sov. Math. 37, 888--902 (1987; Zbl 0616.47010) Full Text: DOI
Yafaev, D. R. The eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation. (English) Zbl 0608.35054 Ann. Inst. Henri Poincaré, Phys. Théor. 44, 397-425 (1986). Reviewer: L.Pastur MSC: 35P25 81U05 34E20 47A40 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Ann. Inst. Henri Poincaré, Phys. Théor. 44, 397--425 (1986; Zbl 0608.35054) Full Text: Numdam EuDML
Sobolev, A. V.; Yafaev, D. R. The phase analysis in the problem of scattering on a radial potential. (Russian. English summary) Zbl 0588.47011 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 147, 155-178 (1985). Reviewer: V.Burjan MSC: 47A40 35P20 81U99 PDFBibTeX XMLCite \textit{A. V. Sobolev} and \textit{D. R. Yafaev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 147, 155--178 (1985; Zbl 0588.47011) Full Text: EuDML
Yafaev, D. R. On the asymptotics of solutions of Volterra integral equations. (English) Zbl 0571.45002 Ark. Mat. 23, 185-201 (1985). Reviewer: O.Staffans MSC: 45D05 45M05 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Ark. Mat. 23, 185--201 (1985; Zbl 0571.45002) Full Text: DOI
Yafaev, D. R. Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. (English) Zbl 0522.35070 Math. USSR, Sb. 46, 267-283 (1983). MSC: 35P25 35J10 35B40 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Math. USSR, Sb. 46, 267--283 (1983; Zbl 0522.35070) Full Text: DOI
Yafaev, D. R. Spectral properties of the Schrödinger operator with a potential having a slow falloff. (English. Russian original) Zbl 0518.47032 Funct. Anal. Appl. 16, 280-286 (1983); translation from Funkts. Anal. Prilozh. 16, No. 4, 47-54 (1982). MSC: 47F05 35J10 47A10 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Funct. Anal. Appl. 16, 280--286 (1983; Zbl 0518.47032); translation from Funkts. Anal. Prilozh. 16, No. 4, 47--54 (1982) Full Text: DOI
Yafaev, D. R. The low energy scattering for slowly decreasing potentials. (English) Zbl 0509.35065 Commun. Math. Phys. 85, 177-196 (1982). MSC: 35P25 35P20 35J10 35B40 35Q99 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Commun. Math. Phys. 85, 177--196 (1982; Zbl 0509.35065) Full Text: DOI
Yafaev, D. R. Scattering subspaces and asymptotic completeness for the time-dependent Schrödinger equation. (Russian) Zbl 0492.35059 Mat. Sb., N. Ser. 118(160), 262-279 (1982). MSC: 35P25 35J10 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Mat. Sb., Nov. Ser. 118(160), 262--279 (1982; Zbl 0492.35059) Full Text: EuDML
Yafaev, D. R. Wave operators for the Schrödinger equation. (Russian) Zbl 0458.35078 Teor. Mat. Fiz. 45, 224-234 (1980). MSC: 35P25 35J10 47A40 81U10 PDFBibTeX XMLCite \textit{D. R. Yafaev}, Teor. Mat. Fiz. 45, 224--234 (1980; Zbl 0458.35078)