A generalization of Miyachi's theorem
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Publication:1030021
DOI10.2969/JMSJ/06120551zbMath1235.43008OpenAlexW2030542379MaRDI QIDQ1030021
Hatem Mejjaoli, Takeshi Kawazoe, Radouan Daher
Publication date: 1 July 2009
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: http://www.jstage.jst.go.jp/article/jmath/61/2/61_551/_article
Harmonic analysis on homogeneous spaces (43A85) Radon transform (44A12) Harmonic analysis on hypergroups (43A62) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Other transforms and operators of Fourier type (43A32)
Related Items (10)
Uncertainty principles for the weinstein transform ⋮ Unnamed Item ⋮ Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line ⋮ Qualitative uncertainty principles for the generalized Hartley transform ⋮ Unnamed Item ⋮ \(L_p\) uncertainty principles on Sturm-Liouville hypergroups ⋮ Uncertainty principles for the Cherednik transform ⋮ Qualitative uncertainty principles for the Opdam–Cherednik transform ⋮ Dunkl-Schrödinger semigroups and applications ⋮ L P LOCAL UNCERTAINTY INEQUALITY FOR THE STURM-LIOUVILLE TRANSFORM
Cites Work
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- Harmonic analysis of probability measures on hypergroups
- The Dunkl transform
- Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
- Generalized Hardy's theorem for the Jacobi transform
- Miyachi's theorem for the Dunkl transform
- The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
- POSITIVITY OF THE INTERTWINING OPERATOR AND HARMONIC ANALYSIS ASSOCIATED WITH THE JACOBI-DUNKL OPERATOR ON ${\mathbb R}$
- A Theorem Concerning Fourier Transforms
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