Birman, M. Sh.; Solomyak, M. On the negative discrete spectrum of a periodic elliptic operator in a waveguide-type domain, perturbed by a decaying potential. (English) Zbl 1200.35196 J. Anal. Math. 83, 337-391 (2001). MSC: 35P05 35B10 35P20 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{M. Solomyak}, J. Anal. Math. 83, 337--391 (2001; Zbl 1200.35196) Full Text: DOI
Birman, M. Sh.; Laptev, A.; Solomyak, M. On the eigenvalue behaviour for a class of differential operators on the semiaxis. (English) Zbl 0916.34067 Math. Nachr. 195, 17-46 (1998). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34L15 34L20 PDFBibTeX XMLCite \textit{M. Sh. Birman} et al., Math. Nachr. 195, 17--46 (1998; Zbl 0916.34067) Full Text: DOI
Birman, Mikhail Sh.; Laptev, Ari; Solomyak, Michael The negative discrete spectrum of the operator \((-\Delta)^ l-\alpha V\) in \(L_ 2(\mathbb{R}^ d)\) for \(d\) even and \(2l\geq d\). (English) Zbl 0876.35079 Ark. Mat. 35, No. 1, 87-126 (1997). Reviewer: F.Mantlik (Dortmund) MSC: 35P20 35J10 PDFBibTeX XMLCite \textit{M. Sh. Birman} et al., Ark. Mat. 35, No. 1, 87--126 (1997; Zbl 0876.35079) Full Text: DOI
Birman, Mikhail Sh.; Laptev, Ari Discrete spectrum of the perturbed Dirac operator. (English) Zbl 0822.35104 Ark. Mat. 32, No. 1, 13-32 (1994). MSC: 35P20 35Q40 35S05 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{A. Laptev}, Ark. Mat. 32, No. 1, 13--32 (1994; Zbl 0822.35104) Full Text: DOI
Birman, M. Sh.; Yafaev, D. R. Asymptotic behavior of the spectrum of the scattering matrix. (English) Zbl 0531.35062 J. Sov. Math. 25, 793-814 (1984). MSC: 35P20 35S05 47A40 81U20 PDFBibTeX XMLCite \textit{M. Sh. Birman} and \textit{D. R. Yafaev}, J. Sov. Math. 25, 793--814 (1984; Zbl 0531.35062) Full Text: DOI