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Distributional Chébli–Trimèche transforms
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2006, Vol. 313 Issue 2, p537-550. 14p. - Publication Year :
- 2006
-
Abstract
- Abstract: In this paper we investigate the distributional Chébli–Trimèche transforms. We use the so-called kernel method and we are inspired by the papers of Dube and Pandey [L.S. Dube, J.N. Pandey, On the Hankel transform of distributions, Tôhoku Math. J. 27 (1975) 337–354] and Koh and Zemanian [E.L. Koh, A.H. Zemanian, The complex Hankel and I-transformations of generalized functions, SIAM J. Appl. Math. 16 (1968) 945–957] about distributional Hankel transforms. We note that our procedure, supported in a representation of the elements in the corresponding dual spaces, is simpler than the methods described in the above mentioned papers. Some applications of our distributional theory are presented. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 313
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19046264
- Full Text :
- https://doi.org/10.1016/j.jmaa.2005.04.079