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Daghestan Electronic Mathematical Reports, 2016, Issue 6, Pages 83–89
DOI: https://doi.org/10.31029/demr.6.5 (Mi demr30) 		 
On the uniqueness of the reconstruction of a function summable in a strip defined by integrals along the arcs of one two-parameter family of hyperbolas

Z. G. Medzhidov

Daghestan Scientific Centre of Russian Academy of Sciences
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DOI: https://doi.org/10.31029/demr.6.5
Abstract: The uniqueness of the reconstruction of integrable in the strip in the plane functions, given its integrals along the arcs of the two-parameter family of hyperbole with weight, analytical by part of the variables is proved.
The method of proof is based on the construction majorant of first kind operator of Volterra for the operator in scales of Banach spaces.
Keywords: integral transform, Volterra operator, the Banach spaces scale, majority operator, the two-parameter family of hyperbole.
Received: 25.10.2016
Revised: 29.11.2016
Accepted: 30.11.2016
Bibliographic databases:
Document Type: Article
UDC: 517.538
Language: Russian
Citation: Z. G. Medzhidov, “On the uniqueness of the reconstruction of a function summable in a strip defined by integrals along the arcs of one two-parameter family of hyperbolas”, Daghestan Electronic Mathematical Reports, 2016, no. 6, 83–89
Citation in format AMSBIB
\Bibitem{Med16}
\by Z.~G.~Medzhidov
\paper On the uniqueness of the reconstruction of a function summable in a strip defined by integrals along the arcs of one two-parameter family of hyperbolas
\jour Daghestan Electronic Mathematical Reports
\yr 2016
\issue 6
\pages 83--89
\mathnet{http://mi.mathnet.ru/demr30}
\crossref{https://doi.org/10.31029/demr.6.5}
\elib{https://elibrary.ru/item.asp?id=29409288}
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