This article is cited in 3 scientific papers (total in 3 papers)
Generalized Dunkl operator
I. I. Karamov a , V. V. Napalkov b a Ufa State Aviation Technical University, Ufa, Russia
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
Abstract:
In the paper we introduce a generalized Dunkl operator acting in the space of entire functions on $\mathbb C$ . We study problems of harmonic analysis related with this operator and show its connection with the Gelfond–Leont'ev operator of generalized differentiation.
Keywords:
Dunkl operator, eigenfunction, Dunkl convolution operator, Dunkl transform, characteristic function, hypercyclic operator.
Received: 26.12.2013
Citation:
I. I. Karamov, V. V. Napalkov, “Generalized Dunkl operator”, Ufa Math. J. , 6 :1 (2014), 56–65
Linking options:
https://www.mathnet.ru/eng/ufa232 https://doi.org/10.13108/2014-6-1-56 https://www.mathnet.ru/eng/ufa/v6/i1/p59
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Abstract page: 462 Russian version PDF: 229 English version PDF: 39 References: 74