Miyachi's theorem for the Dunkl transform

DOI10.1080/10652469.2010.505029zbMath1210.43005OpenAlexW2052445852MaRDI QIDQ3074602

Hatem Mejjaoli, Frej Chouchene, Takeshi Kawazoe, Radouan Daher

Publication date: 9 February 2011

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2010.505029

zbMATH Keywords

Miyachi's theoremDunkl transform

Mathematics Subject Classification ID

Other transforms and operators of Fourier type (43A32) Reflection groups, reflection geometries (51F15)

Related Items (7)

Uncertainty principles for the fractional quaternion Fourier transform ⋮ Uncertainty principles for the Clifford-Fourier transform ⋮ Miyachi's theorem for the quaternion Fourier transform ⋮ Time-frequency localization for the fractional Fourier transform in signal processing and uncertainty principles ⋮ Unnamed Item ⋮ A generalization of Miyachi's theorem ⋮ Uncertainty principles involvingL¹-norms for the Dunkl transform

Cites Work

• A variant of Cowling-Price's theorem for the Dunkl transform on \(\mathbb R\)
• The Dunkl transform
• Positivity of Dunkl's intertwining operator
• Integral Kernels with Reflection Group Invariance
• The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
• An L^P version of Hardy's theorem for the Dunkl transform
• A Theorem Concerning Fourier Transforms
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• On the theorems of Hardy and Miyachi for the Jacobi–Dunkl transform

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