Functional differential operators with involution and Dirac operators with periodic boundary conditions

DOI10.1134/S1064562414010037zbMath1307.34104MaRDI QIDQ403912

M. Sh. Burlutskaya, Avgoust P. Khromov

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesDirac operatoreigenfunctionsoperator with involution

Mathematics Subject Classification ID

Spectral theory of functional-differential operators (34K08)

Related Items (8)

Method of similar operators in the study of spectral properties of perturbed first-order differential operators ⋮ Linear differential operator with an involution as a generator of an operator group ⋮ Dirac operator with a potential of special form and with the periodic boundary conditions ⋮ Spectral analysis of a differential operator with an involution ⋮ Inverse spectral problems for functional-differential operators with involution ⋮ ON THE SPECTRAL ANALYSIS OF A DIFFERENTIAL OPERATOR WITH AN INVOLUTION AND GENERAL BOUNDARY CONDITIONS ⋮ Similarity techniques in the spectral analysis of perturbed operator matrices ⋮ Spectral properties of first-order differential operators with an involution and groups of operators

Cites Work

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• Initial-boundary value problems for first-order hyperbolic equations with involution
• Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system
• A functional-differential operator with involution
• Bari–Markus property for Riesz projections of 1D periodic Dirac operators
• The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
• Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

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