Generalization of the Dunkl operator on the space of entire functions

DOI10.1134/S1064562408030125zbMath1153.43002OpenAlexW2047202312MaRDI QIDQ954193

V. V. Napalkov, Vitaly E. Kim

Publication date: 10 November 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408030125

zbMATH Keywords

entire functionsDunkl operatorsgeneralized translations

Mathematics Subject Classification ID

Other transforms and operators of Fourier type (43A32)

Related Items (2)

Composition operators of convolution and multiplication by a function ⋮ Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator

Cites Work

• Unnamed Item
• Operators with dense, invariant, cyclic vector manifolds
• Hypercyclic and chaotic convolution operators associated with the Dunkl operator on \(\mathbb C\)
• Exact operator solution of the Calogero-Sutherland model
• A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Dunkl transform

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