文章基本信息

标题：A new structure of an integral operator associated with trigonometric Dunkl settings
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作者：Shrideh Khalaf Al-Omari ; Serkan Araci ; Mohammed Al-Smadi 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03485-8
出版社：Hindawi Publishing Corporation
摘要：In this paper, we discuss a generalization to the Cherednik–Opdam integral operator to an abstract space of Boehmians. We introduce sets of Boehmians and establish delta sequences and certain class of convolution products. Then we prove that the extended Cherednik–Opdam integral operator is linear, bijective and continuous with respect to the convergence of the generalized spaces of Boehmians. Moreover, we derive embeddings and discuss properties of the generalized theory. Moreover, we obtain an inversion formula and provide several results.
关键词：54C40 ; 14E20 ; 46E25 ; 20C20