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On the Spectrality of the Differential Operators with Periodic Coefficients

Published 10 Apr 2025 in math.SP | (2504.07873v4)

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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