Spectral Expansion Series with Parenthesis for the Nonself-adjoint Periodic Differential Operators

Published 4 Aug 2015 in math.SP | (1508.00804v3)

Abstract: In this paper we construct the spectral expansion for the differential operator generated in all real line by ordinary differential expression of arbitrary order with periodic complex-valued coefficients by introducing new concepts as essential spectral singularities and singular quasimomenta and using the series with parenthesis. Moreover, we find a criteria for which the spectral expansion coincides with the Gelfand expansion for the self-adjoint case.

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Authors (1)

O. A. Veliev

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