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
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 |
| Statistic Details: | View Download Statistic |
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