Analogs of S-type spaces of partially even functions
Abstract
We construct analogs of $S$-type spaces whose elements are functions that are even in a part of components of their arguments. We obtain a formula that expresses a power of a Bessel operator via the corresponding powers of a differential operator. This formula enables us to establish a relation between these spaces in terms of the Fourier – Bessel transformation and to clarify some basic properties of typical operations on their elements.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 4, pp 563-574.
Citation Example: Litovchenko V. A. Analogs of S-type spaces of partially even functions // Ukr. Mat. Zh. - 2013. - 65, № 4. - pp. 512-521.
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