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Found 70 Documents (Results 1–70)

On lacunas in the spectrum of the Laplacian with the Dirichlet boundary condition in a band with oscillating boundary. (English. Russian original) Zbl 1471.35211

J. Math. Sci., New York 257, No. 3, 273-285 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 162, 3-14 (2019).
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Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides. (English. Russian original) Zbl 1458.35031

Izv. Math. 84, No. 6, 1105-1160 (2020); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 84, No. 6, 73-130 (2020).
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Finite-dimensional approximations to the Poincaré-Steklov operator for general elliptic boundary value problems in domains with cylindrical and periodic exits to infinity. (English. Russian original) Zbl 1445.35157

Trans. Mosc. Math. Soc. 2019, 1-51 (2019); translation from Tr. Mosk. Mat. O.-va 80, No. 1, 1-62 (2019).
MSC:  35J57 47F05
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Extended states for the Schrödinger operator with quasi-periodic potential in dimension two. (English) Zbl 1442.35003

Memoirs of the American Mathematical Society 1239. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3543-1/pbk; 978-1-4704-5069-4/ebook). v, 139 p. (2019).
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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).
MSC:  47F05 35P20
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On the structure of the lower edge of the spectrum of the periodic magnetic Schrödinger operator with small magnetic potential. (English. Russian original) Zbl 1264.35102

St. Petersbg. Math. J. 17, No. 5, 865-873 (2006); translation from Algebra Anal. 17, No. 5, 232-243 (2005).
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Point spectrum on a continuous spectrum for weakly perturbed Stark type operators. (English. Russian original) Zbl 0871.47035

Funct. Anal. Appl. 29, No. 4, 248-257 (1995); translation from Funkts. Anal. Prilozh. 29, No. 4, 31-44 (1995).
MSC:  47E05 47A10 47A55
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Perturbation theory for a polyharmonic operator with nonsmooth periodic potential. (English. Russian original) Zbl 0724.47022

J. Sov. Math. 54, No. 3, 911-915 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 169, 76-83 (1988).
MSC:  47F05 47A10 47A55
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Asymptotic formulas for the eigenvalues of a periodic Schrödinger operator and the Bethe-Sommerfeld conjecture. (English. Russian original) Zbl 0638.47049

Funct. Anal. Appl. 21, No. 1-3, 87-100 (1987); translation from Funkts. Anal. Prilozh. 21, No. 2, 1-15 (1987).
Reviewer: C.Badea-Simionescu
MSC:  47F05 47A10 35J10
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