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Ufa Mathematical Journal, 2014, Volume 6, Issue 1, Pages 56–65
DOI: https://doi.org/10.13108/2014-6-1-56 (Mi ufa232) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalized Dunkl operator

I. I. Karamova, V. V. Napalkovb

a Ufa State Aviation Technical University, Ufa, Russia
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
English version PDF (335 kB) Citations (2)
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DOI: https://doi.org/10.13108/2014-6-1-56
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
Russian version:
Ufimskii Matematicheskii Zhurnal, 2014, Volume 6, Issue 1, Pages 59–68
Bibliographic databases:
Document Type: Article
UDC: 917.53+917.98
MSC: 47B38
Language: English
Original paper language: Russian
Citation: I. I. Karamov, V. V. Napalkov, “Generalized Dunkl operator”, Ufimsk. Mat. Zh., 6:1 (2014), 59–68; Ufa Math. J., 6:1 (2014), 56–65
Citation in format AMSBIB
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  • https://doi.org/10.13108/2014-6-1-56
  • https://www.mathnet.ru/eng/ufa/v6/i1/p59
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
    Statistics & downloads:
    Abstract page:418
    Russian version PDF:209
    English version PDF:24
    References:54
     
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