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On the theorems of Hardy and Miyachi for the Jacobi-Dunkl transform.
- Source :
- Integral Transforms & Special Functions; May2007, Vol. 18 Issue 5, p305-311, 7p
- Publication Year :
- 2007
-
Abstract
- We generalize theorems of Hardy and Miyachi for the Fourier transform on real line to the Jacobi-Dunkl transform. More precisely in the first part of this paper we give another proof of the heart of Hardy's theorem (we mean αβ=1/4), which has been obtained recently by Chouchane, Mili, and Trimèche. In the second part, we get some analog of Miyachi's theorem for the Jacobi-Dunkl transform. [ABSTRACT FROM AUTHOR]
- Subjects :
- MATHEMATICAL transformations
FOURIER transforms
MATHEMATICAL analysis
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10652469
- Volume :
- 18
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Integral Transforms & Special Functions
- Publication Type :
- Academic Journal
- Accession number :
- 24905376
- Full Text :
- https://doi.org/10.1080/10652460701318244