On the Spectrality of Differential Operators with Periodic Coefficients

In this paper, we establish a condition on the coefficients of differential operators generated in $$L_{2}(-\infty,\infty)$$ by an ordinary differential expression with periodic complex-valued coefficients under which the operator is a spectral operator.

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Publication Details

Journal
Mathematical Notes
Published
2025-10-01
DOI
https://doi.org/10.1134/s0001434625603168
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
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article

On the Spectrality of Differential Operators with Periodic Coefficients

O. A. Veliev
Mathematical Notes
Spectral Theory in Mathematical Physics
article

On the Spectrality of Differential Operators with Periodic Coefficients

O. A. Veliev
article en

Abstract

In this paper, we establish a condition on the coefficients of differential operators generated in $$L_{2}(-\infty,\infty)$$ by an ordinary differential expression with periodic complex-valued coefficients under which the operator is a spectral operator.

Mathematical NotesVol. 118(3-4)
Doğuş University (TR)
Openalex Percentile: Top 22%
Spectral Theory in Mathematical Physics
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On the Spectrality of Differential Operators with Periodic Coefficients — O. A. Veliev · Mathematical Notes (2025) | TGRS Research Map | TGRS