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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 6, Pages 3–15 (Mi ivm6940)  
This article is cited in 2 scientific papers (total in 2 papers)

The Cauchy problem for evolution equations with the Bessel operator of infinite order. I

V. V. Gorodestkii, O. V. Martynyuk

Chair of Algebra and Information Science, Chernovtsy National University, Chernovtsy, Ukraine
Full-text PDF (225 kB) Citations (2)
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Abstract: We establish necessary and sufficient conditions under which the Bessel operator of infinite order is bounded in certain spaces. We study properties of the Bessel transformations of distributions from these spaces, those of convolutions, convolutors, and multiplicators.
Keywords: Bessel transformation, distributions, Bessel operator of infinite order, convolutors, multiplicators.
Received: 08.05.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 6, Pages 1–12
DOI: https://doi.org/10.3103/S1066369X10060010
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: V. V. Gorodestkii, O. V. Martynyuk, “The Cauchy problem for evolution equations with the Bessel operator of infinite order. I”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 6, 3–15; Russian Math. (Iz. VUZ), 54:6 (2010), 1–12
Citation in format AMSBIB
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\by V.~V.~Gorodestkii, O.~V.~Martynyuk
\paper The Cauchy problem for evolution equations with the Bessel operator of infinite order.~I
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 6
\pages 3--15
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 6
\pages 1--12
\crossref{https://doi.org/10.3103/S1066369X10060010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649585807}
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    This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:51
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