On a class of diagonal operators in the spaces of analytic functions and its application

TitleOn a class of diagonal operators in the spaces of analytic functions and its application
Publication TypeJournal Article
Year of Publication2014
AuthorsLinchuk, Yu.S
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2014.03.025
Issue3
SectionMathematics
Pagination25-28
Date Published3/2014
LanguageUkrainian
Abstract

Diagonal operators induced by the Taylor coefficients of hypergeometric functions and some properties of such operators in the spaces of functions analytic in arbitrary domains are investigated. The results are applied to study properties of the generalized Dunkl operator.

Keywordsanalytic functions, application, diagonal operators
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