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Spectrum of multidimensional periodic operators

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Publication:910678
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DOI10.1007/BF02216095zbMath0696.47003MaRDI QIDQ910678

Oktay A. Veliev

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

Schrödinger operatorspectrumBethe-Sommerfeld conjecturemultidimensional periodic operators


Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular perturbations in context of PDEs (35B25) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)


Related Items

On sums of semibounded Cantor sets ⋮ Multidimensional Schrödinger operators whose spectrum features a half-line and a Cantor set ⋮ An overview of periodic elliptic operators ⋮ Spectra of discrete two-dimensional periodic Schrödinger operators with small potentials



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