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New spectral theorems in Dunkl analysis - MaRDI portal

New spectral theorems in Dunkl analysis (Q521942)

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scientific article; zbMATH DE number 6705352
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English
New spectral theorems in Dunkl analysis
scientific article; zbMATH DE number 6705352

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    New spectral theorems in Dunkl analysis (English)
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    12 April 2017
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    Dunkl operators, which are the differential-difference operators associated with a root system and a multiplicative function, are investigated with respect to several problems that are already studied for the Fourier transform. In the paper under review, the author proves the real Paley-Wiener theorems and their new versions for the Dunkl transform.
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    Dunkl transform
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    real Paley-Wiener theorem
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    Dunkl potentials
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