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Izvestiya: Mathematics, 2012, Volume 76, Issue 1, Pages 79–93
DOI: https://doi.org/10.1070/IM2012v076n01ABEH002575 (Mi im5405) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Behaviour at infinity of solutions of twisted convolution equations

V. V. Volchkov, Vit. V. Volchkov

Donetsk National University
English version PDF (331 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM2012v076n01ABEH002575
Abstract: We obtain a precise characterization of the minimal rate of growth at infinity of non-trivial solutions of twisted convolution equations in unbounded domains of $\mathbb{C}^n$. As an application, we obtain definitive versions of the two-radii theorem for twisted spherical means.
Keywords: Heisenberg group, twisted convolution equation, two-radii theorem, confluent hypergeometric functions.
Received: 12.10.2010
Bibliographic databases:
Document Type: Article
UDC: 517.444
MSC: 43A80, 44A35, 45E10
Language: English
Original paper language: Russian
Citation: V. V. Volchkov, Vit. V. Volchkov, “Behaviour at infinity of solutions of twisted convolution equations”, Izv. Math., 76:1 (2012), 79–93
Citation in format AMSBIB
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\pages 79--93
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:740
    Russian version PDF:204
    English version PDF:24
    References:85
    First page:22
     
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