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Uniform, on the Real Line, Equiconvergence of Spectral Expansions for the Higher-Order Differential Operators

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Abstract

Result on the uniform, over the entire real line, equiconvergence of spectral expansions related to the self-adjoint extension of a general differential operation of any even order with coefficients from the one-dimensional Kato class, with the Fourier integral expansion is presented. The statement is based on the obtained uniform estimates for the spectral function of this operator.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia

    L. V. Kritskov

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  1. L. V. Kritskov
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Correspondence to L. V. Kritskov.

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Kritskov, L.V. Uniform, on the Real Line, Equiconvergence of Spectral Expansions for the Higher-Order Differential Operators. Dokl. Math. 101, 132–134 (2020). https://doi.org/10.1134/S1064562420020143

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  • DOI: https://doi.org/10.1134/S1064562420020143

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