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Unified treatment of the Krätzel transformation for generalized functions

Al-Omari, Shrideh Khalaf Qasem and Kilicman, Adem (2013) Unified treatment of the Krätzel transformation for generalized functions. Abstract and Applied Analysis, 2013 . art. no. 750524. pp. 1-7. ISSN 1085-3375; ESSN: 1687-0409

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Abstract

We discuss a generalization of the Krätzel transforms on certain spaces of ultradistributions. We have proved that the Krätzel transform of an ultradifferentiable function is an ultradifferentiable function and satisfies its Parseval's inequality. We also provide a complete reading of the transform constructing two desired spaces of Boehmians. Some other properties of convergence and continuity conditions and its inverse are also discussed in some detail.

Item Type:Article
Keyword:Generalized functions; Integral transform; Krätzel transform
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:Hindawi Publishing Corporation
DOI Number:10.1155/2013/750524
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/750524
ID Code:30130
Deposited By: Umikalthom Abdullah
Deposited On:02 Jul 2014 09:30
Last Modified:19 Oct 2017 14:01

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