Analogs of S-type spaces of partially even functions

• Date: 2013
• Main Authors: Litovchenko, V. A., Літовченко, В. А.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2013
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2435
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 betw...