Weyl’s Lemma and Converse Mean Value for Dunkl Operators

Maslouhi, M.; Daher, R.

doi:10.1007/978-3-0346-0198-6_5

Weyl’s Lemma and Converse Mean Value for Dunkl Operators

M. Maslouhi³⁸ &
R. Daher³⁹

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 205))

Abstract

We give a version of Weyl’s lemma for the Dunkl Laplacian and apply this result to characterize Dunkl harmonic functions in a class of tempered distribution by invariance under Dunkl convolution with suitable kernels.

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Authors and Affiliations

CPGE Rabat, 10000, Morocco
M. Maslouhi
Université Hassan II, Ain Chock, Casablanca, 20153, Morocco
R. Daher

Authors

M. Maslouhi
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R. Daher
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Editors and Affiliations

Institut für Mathematik, Universität Potsdam, Am Neuen Palais 10, 14469, Potsdam, Germany
Bert-Wolfgang Schulze
Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario, M3J 1P3, Canada
M. W. Wong

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Maslouhi, M., Daher, R. (2009). Weyl’s Lemma and Converse Mean Value for Dunkl Operators. In: Schulze, BW., Wong, M.W. (eds) Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations. Operator Theory: Advances and Applications, vol 205. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0198-6_5

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DOI: https://doi.org/10.1007/978-3-0346-0198-6_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0346-0197-9
Online ISBN: 978-3-0346-0198-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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