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Certain integral transforms with the Macdonald function Kν(z) in the kernels

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Abstract

Four integral transforms are considered with the Macdonald function in their kernels. Existence and inversion theorems are proved and Parseval equalities are established in a Hilbert space, in a Wiener normed ring, and in the space of generalized Gelfand-Shilov functions.

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Authors and Affiliations

  1. Vietnam

    Vu Kim Tuan

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  1. Vu Kim Tuan
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 7, pp. 990–993, July, 1990.

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Tuan, V.K. Certain integral transforms with the Macdonald function Kν(z) in the kernels. Ukr Math J 42, 880–883 (1990). https://doi.org/10.1007/BF01062097

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  • DOI: https://doi.org/10.1007/BF01062097

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