Multiparameter perturbation theory of Fredholm operators applied to Bloch functions

DOI10.1134/S0001434609110194zbMath1197.47025MaRDI QIDQ845210

V. V. Grushin

Publication date: 5 February 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceanalytic functionBloch functionFredholm operatorhexagonal latticetwo-dimensional Schrödinger operatormultiparameter perturbation theory

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Normal functions of one complex variable, normal families (30D45) Schrödinger operator, Schrödinger equation (35J10) (Semi-) Fredholm operators; index theories (47A53) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

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Cites Work

• Asymptotic behavior of the eigenvalues of the Schrödinger operator in thin closed tubes
• ON A CLASS OF ELLIPTIC PSEUDODIFFERENTIAL OPERATORS DEGENERATE ON A SUBMANIFOLD
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