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Sbornik: Mathematics, 1996, Volume 187, Issue 1, Pages 111–117
DOI: https://doi.org/10.1070/SM1996v187n01ABEH000103
(Mi sm103)
 

On the problem of existence of analytic functions with boundary values of given modulus

M. V. Samokhin

Moscow State University of Civil Engineering
References:
Abstract: The problem of possible weakening of conditions imposed on the boundary functions in the existence problem for automorphic analytic functions with boundary values of given modulus is considered. An interpretation of earlier results in terms of the Wiener and Martin compactifications is presented.
Received: 30.03.1995
Bibliographic databases:
UDC: 517.53
MSC: Primary 30F35, 30E25; Secondary 31C35, 46J20
Language: English
Original paper language: Russian
Citation: M. V. Samokhin, “On the problem of existence of analytic functions with boundary values of given modulus”, Sb. Math., 187:1 (1996), 111–117
Citation in format AMSBIB
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\by M.~V.~Samokhin
\paper On the problem of existence of analytic functions with boundary values of given modulus
\jour Sb. Math.
\yr 1996
\vol 187
\issue 1
\pages 111--117
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0030306764}
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  • https://www.mathnet.ru/eng/sm/v187/i1/p113
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