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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2025 Volume 118, Issue 4, Pages 714–725 (Mi mzm14932)

Papers published in the English version of the journal

On the Spectrality of Differential Operators with Periodic Coefficients

O. A. Veliev

Dogus University, Istanbul, Turkey

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.

Keywords: Nonself-adjoint differential operators, periodic coefficients, spectral operator.

Received: 02.06.2025
Revised: 02.06.2025

Language: English


 English version:
Mathematical Notes, 2025, 118:4, 714–725

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© Steklov Math. Inst. of RAS, 2026