On the Spectrality of the Differential Operators with Periodic Coefficients
Spectral Theory
2025-05-30 v4
Abstract
In this paper, we establish a condition on the coefficients of differential operators generated in the space of square-integrable functions on the entire real line by an ordinary differential expression with periodic, complex-valued coefficients, under which the operator is a spectral operator in the sense of Dunford [1].
Keywords
Cite
@article{arxiv.2504.07873,
title = {On the Spectrality of the Differential Operators with Periodic Coefficients},
author = {O. A. Veliev},
journal= {arXiv preprint arXiv:2504.07873},
year = {2025}
}