On the problem of existence of analytic functions with boundary values of given modulus
Sbornik. Mathematics, Tome 187 (1996) no. 1, pp. 111-117

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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.
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     author = {M. V. Samokhin},
     title = {On the problem of existence of analytic functions with boundary values of given modulus},
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M. V. Samokhin. On the problem of existence of analytic functions with boundary values of given modulus. Sbornik. Mathematics, Tome 187 (1996) no. 1, pp. 111-117. http://geodesic.mathdoc.fr/item/SM_1996_187_1_a6/