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Analog of Dirichlet multidimensional discontinuous factor for Riesz means in complex domain

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Literature cited

  1. E. C. Titchmarsh, Eigenfunction Expansions Associated with Second Order Differential Equations, Oxford Univ. Press (1962).

  2. V. A. Il'in, “On summability of Fourier series with respect to eigenfunctions by Riesz, Cesaro, and Poisson-Abel means,” Differents. Uravn.,2, No. 6, 816–827 (1966).

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  3. V. A. Il'in, “Necessary and sufficient conditions for spectral expansions to be basic and equiconvergent with trigonometric series,” II, Differents. Uravn.,16, No. 6, 980–1009 (1980).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    Ya. Sh. Salimov

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  1. Ya. Sh. Salimov
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Translated from Matematicheskie Zametki, Vol. 40, No. 4, pp. 492–510, October, 1986.

The author thanks V. A. Il'in and E. I. Moiseev for their interest and useful advice.

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Salimov, Y.S. Analog of Dirichlet multidimensional discontinuous factor for Riesz means in complex domain. Mathematical Notes of the Academy of Sciences of the USSR 40, 784–793 (1986). https://doi.org/10.1007/BF01159672

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  • DOI: https://doi.org/10.1007/BF01159672

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