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Sobolev spaces for the Dunkl operator on the real line - MaRDI portal

Sobolev spaces for the Dunkl operator on the real line (Q326900)

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scientific article; zbMATH DE number 6637964
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Sobolev spaces for the Dunkl operator on the real line
scientific article; zbMATH DE number 6637964

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    Sobolev spaces for the Dunkl operator on the real line (English)
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    12 October 2016
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    Summary: In this paper we shall introduce functions spaces as subspaces of \(\mathrm{L}^{p}\) that we call Sobolev spaces. We prove the generalization of Titchmarsh's theorem of these spaces.
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    Dunkl operator
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    Dunkl transform
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    Dunkl translation operator
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    Sobolev spaces
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    Titchmarsh's theorem
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