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Hypoelliptic dunkl convolution equations in the space of distributions on \({\mathbb R}^d\)

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Publication:857574
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DOI10.1007/S00041-005-5073-YzbMath1105.42004OpenAlexW2134233968MaRDI QIDQ857574

Khalifa Trimèche

Publication date: 19 December 2006

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-005-5073-y


zbMATH Keywords

Dunkl transformDunkl convolution product


Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) General theory of ordinary differential operators (47E05) Convolution, factorization for one variable harmonic analysis (42A85) Topological linear spaces of test functions, distributions and ultradistributions (46F05)


Related Items (4)

An analog of Titchmarsh's Theorem for the Dunkl transform ⋮ Harmonic analysis associated with the Cherednik operators and the Heckman–Opdam theory ⋮ On the generalized Poisson transform ⋮ Real Paley-Wiener type theorems for the Dunkl transform on \({\mathcal{S}}^{\prime}(\mathbb{R}^{d})\)







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