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Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion

  • Ordinary Differential Equations
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Abstract

We consider the one-dimensional Dirac operator on a finite interval G = (a, b). We analyze the uniform componentwise equiconvergence of expansions in root vector functions of this operator with the trigonometric Fourier series on a compact set. Theorems on the componentwise equiconvergence on a compact set and the componentwise localization principle are proved.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, National Academy of Sciences, Baku, Azerbaijan

    V. M. Kurbanov & A. I. Ismailova

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  1. V. M. Kurbanov
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  2. A. I. Ismailova
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Original Russian Text © V.M. Kurbanov, A.I. Ismailova, 2012, published in Differentsial’nye Uravneniya, 2012, Vol. 48, No. 5, pp. 648–662.

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Kurbanov, V.M., Ismailova, A.I. Componentwise uniform equiconvergence of expansions in root vector functions of the Dirac operator with the trigonometric expansion. Diff Equat 48, 655–669 (2012). https://doi.org/10.1134/S0012266112050047

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  • DOI: https://doi.org/10.1134/S0012266112050047

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