A. R. Mirotin, M. A. Romanova, “On some characterization of Arens-Singer generalized analytic functions”, PFMT, 2011, no. 2(7), 65

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2011, Issue 2(7), Pages 65–68 (Mi pfmt102)

MATHEMATICS

On some characterization of Arens-Singer generalized analytic functions

A. R. Mirotin^a, M. A. Romanova^b

^a F. Skorina Gomel State University, Gomel
^b Polesskiy State University, Pinsk

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Abstract: A new characterization of generalized analytic functions in sense of Arens–Singer is given in the case of maximal semigroups. It is shown that this result can be applied to approximation problems.

Keywords: algebra of generalized analytic functions, semigroup of semicharacters, Shilov boundary, approximation.

Received: 14.02.2011

Document Type: Article

UDC: 517.986

Language: Russian

Citation: A. R. Mirotin, M. A. Romanova, “On some characterization of Arens-Singer generalized analytic functions”, PFMT, 2011, no. 2(7), 65–68

Citation in format AMSBIB

\Bibitem{MirRom11}

\by A.~R.~Mirotin, M.~A.~Romanova

\paper On some characterization of Arens-Singer generalized analytic functions

\jour PFMT

\yr 2011

\issue 2(7)

\pages 65--68

\mathnet{http://mi.mathnet.ru/pfmt102}

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https://www.mathnet.ru/eng/pfmt102

https://www.mathnet.ru/eng/pfmt/y2011/i2/p65

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	143
Full-text PDF :	59
References:	58

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