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Riesz-summation of fourier series with respect to the eigenfunctions of an abstract operator

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Literature cited

  1. Functional Analysis [in Russian] SMB, Nauka, Moscow (1972).

  2. M. Sova, “Cosine operator functions,” Rozprawy Matematyczne,49, 1–48, Warsaw (1966).

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  3. E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Oxford Univ. Press, London (1946).

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  4. V. A. Ditkin and A. P. Prudnikov, Integral Transforms and Operational Calculus [in Russian], Nauka, Moscow (1974).

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Authors and Affiliations

  1. Voronezh State University, USSR

    S. S. Shterengas

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  1. S. S. Shterengas
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Translated from Matematicheskie Zametki, Vol. 26, No. 6, pp. 865–873, December, 1979.

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Shterengas, S.S. Riesz-summation of fourier series with respect to the eigenfunctions of an abstract operator. Mathematical Notes of the Academy of Sciences of the USSR 26, 934–938 (1979). https://doi.org/10.1007/BF01142079

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  • DOI: https://doi.org/10.1007/BF01142079

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