Mv. Samokhin, ON THE PROBLEM OF EXISTENCE OF ANALYTIC-FUNCTIONS WITH BOUNDARY-VALUES OF GIVEN MODULUS, Sbornik. Mathematics, 187(1-2), 1996, pp. 111-117
The problem of possible weakening of conditions imposed on the boundar
y function in the existence problem for automorphic analytic functions
with boundary values of given modulus is considered. An interpretatio
n of earlier results in terms of the Wiener and Martin compactificatio
ns is presented.