A. G. Baskakov, A. V. Derbushev, A. O. Shcherbakov, “The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials”, Izv. RAN. Ser. Mat., 2011, Volume 75, Issue 3,Pages <nobr>3

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The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials

A. G. Baskakov, A. V. Derbushev, A. O. Shcherbakov

Voronezh State University

Abstract: We use the method of similar operators to study the spectral properties of Dirac operators, and obtain results on the asymptotic behaviour of the spectra of Dirac operators and the convergence of spectral expansions.

Keywords: spectrum of an operator, Dirac operator, asymptotic behaviour of the spectrum, spectral expansions, method of similar operators.

UDC: 517.19

MSC: 47A55, 47B40, 34L10, 34L20, 34L40

Received: 17.08.2009

DOI: 10.4213/im4202