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Unified treatment of the Krätzel transformation for generalized functions


Citation

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

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2013/750524
Publisher: Hindawi Publishing Corporation
Keywords: Generalized functions; Integral transform; Krätzel transform
Depositing User: Umikalthom Abdullah
Date Deposited: 02 Jul 2014 01:30
Last Modified: 19 Oct 2017 06:01
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/750524
URI: http://psasir.upm.edu.my/id/eprint/30130
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