On modified Mellin transform of generalized functions
type: Item
instance of: scholarly article
title: On modified Mellin transform of generalized functions
zbMATH Open document ID: 1291.44007
DOI: 10.1155/2013/539240
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform. Then we describe the domain and range spaces where the extended modified transform is well defined. Consistency, convolution, analyticity, continuity, and sufficient theorems for the proposed transform have been established. An inversion formula is also obtained and many properties are given.
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 6306985
author: S. K. Q. Al-Omari
author: Adem Kilicman
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/539240
OpenAlex ID: W2126520784
Wikidata QID: Q58917074
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description: scientific article; zbMATH DE number 6306985