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Analogs of S-type spaces of partially even functions

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Ukrainian Mathematical Journal Aims and scope

We construct analogs of S-type spaces whose elements are functions even in certain parts of components of their arguments. We deduce a formula expressing the power of a Bessel operator via the corresponding powers of differential operators. The proposed formula enables us to establish the relationship between these spaces in terms of the Fourier–Bessel transformation and to clarify some basic properties of typical operations over their elements.

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Authors and Affiliations

  1. Chernivtsi National University, Chernivtsi, Ukraine

    V. A. Litovchenko

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  1. V. A. Litovchenko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 4, pp. 512–521, April, 2013.

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Litovchenko, V.A. Analogs of S-type spaces of partially even functions. Ukr Math J 65, 563–574 (2013). https://doi.org/10.1007/s11253-013-0795-5

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  • DOI: https://doi.org/10.1007/s11253-013-0795-5

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