Analogs of <i>S</i>-type spaces of partially even functions

  • V. A. Litovchenko Чернiв. нац. ун-т

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.
Published
25.04.2013
How to Cite
LitovchenkoV. A. “Analogs of <i>S</I&gt;-Type Spaces of Partially Even Functions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, no. 4, Apr. 2013, pp. 512-21, http://umj.imath.kiev.ua/index.php/umj/article/view/2435.
Section
Research articles