Generalized Dunkl-Opdam operator and its properties in the spaces of analytic functions in domains (Q2808462)

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scientific article; zbMATH DE number 6584034
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Generalized Dunkl-Opdam operator and its properties in the spaces of analytic functions in domains
scientific article; zbMATH DE number 6584034

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    23 May 2016
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    Dunkl-Opdam operator
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    extension of diagonal operator
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    Generalized Dunkl-Opdam operator and its properties in the spaces of analytic functions in domains (English)
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    In the paper a generalized Dunkl-Opdam operator is defined and some of its properties are studied in the space \({\mathcal H}(G)\) of all analytic functions in \(G\). Also, a possibility of extension to the space \({\mathcal H}(G)\) of the diagonal operator constructed by Taylor coefficients of generalized hypergeometric function is investigated.
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