Regularized trace of the Dirac operator

DOI10.1134/S0001434615070147zbMath1357.47048OpenAlexW1690709976MaRDI QIDQ887486

A. O. Shcherbakov

Publication date: 26 October 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434615070147

zbMATH Keywords

Banach algebraHilbert spaceDirichlet boundary conditionscomplex Banach spaceregularized traceFourier coefficientnon-self-adjoint Dirac operatorperiodic/antiperiodic boundary conditions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (3)

Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces ⋮ Method of similar operators in research of spectral properties of difference operators with growthing potential ⋮ Bidimensional honeycomb materials: a graph model through Dirac operator

Cites Work

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• Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential
• Traces of operators
• SPECTRAL ANALYSIS OF PERTURBED NONQUASIANALYTIC AND SPECTRAL 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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