Composition operators of convolution and multiplication by a function

DOI10.1134/S0001434616030044zbMath1351.30014OpenAlexW2403695669MaRDI QIDQ325621

Karina R. Zabirova, V. V. Napalkov

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616030044

zbMATH Keywords

entire functionsconvolution operatorDunkl operatoroperator of multiplication by a function

Mathematics Subject Classification ID

Special classes of entire functions of one complex variable and growth estimates (30D15) Spaces and algebras of analytic functions of one complex variable (30H99)

Cites Work

• The spectrum of the right inverse of the Dunkl operator
• Dunkl operators as convolutions
• Hypercyclic and chaotic convolution operators associated with the Dunkl operator on \(\mathbb C\)
• Generalization of the Dunkl operator on the space of entire functions
• Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle
• Exact operator solution of the Calogero-Sutherland model
• Dunkl convolution operators and their properties
• The multipoint de la Vallée-Poussin problem for a convolution operator
• Differential-Difference Operators Associated to Reflection Groups
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