Spectral Expansion Series with Parenthesis for the Nonself-adjoint Periodic Differential Operators
Spectral Theory
2018-01-16 v3
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.
Keywords
Cite
@article{arxiv.1508.00804,
title = {Spectral Expansion Series with Parenthesis for the Nonself-adjoint Periodic Differential Operators},
author = {O. A. Veliev},
journal= {arXiv preprint arXiv:1508.00804},
year = {2018}
}