On the Spectrality of the Differential Operators with Periodic Coefficients

O. A. Veliev

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arXiv · 2504.07873

On the Spectrality of the Differential Operators with Periodic Coefficients

O. A. Veliev

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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].

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O. A. Veliev. 2025-04-10. On the Spectrality of the Differential Operators with Periodic Coefficients. https://arxiv.org/abs/2504.07873

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