Estimation of the Generalized Bessel–Struve Transform in a Space of Generalized Functions

We study the so-called Bessel–Struve transform in a certain class of generalized functions called Boehmians. By using different convolution products, we generate the Boehmian spaces in which the extended transform is well defined. We also show that the Bessel–Struve transform of a Boehmian is an iso...

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Bibliographic Details
Published inUkrainian mathematical journal Vol. 69; no. 9; pp. 1341 - 1353
Main Author Omari, S.K.Q. Al
Format Journal Article
LanguageEnglish
Published New York Springer US 01.02.2018
Springer
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Convolution
Geometry
Isomorphism
Mathematics
Mathematics and Statistics
Statistics
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Summary:We study the so-called Bessel–Struve transform in a certain class of generalized functions called Boehmians. By using different convolution products, we generate the Boehmian spaces in which the extended transform is well defined. We also show that the Bessel–Struve transform of a Boehmian is an isomorphism continuous with respect to a certain type of convergence.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-018-1435-x