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Convergence of the Poincaré series for some classical Schottky groups
Author(s):
Vladimir
Mityushev
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2399-2406.
MSC (1991):
Primary 30E25, 30F40, 39B32
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Abstract:
The Poincaré  -series for a multiply connected circular region can be either convergent or divergent absolutely. In this paper we prove a uniform convergence result for such a region.
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Additional Information:
Vladimir
Mityushev
Affiliation:
Department of Mathematics, Pedagogical College, ul.Arciszewskiego 22b, 76-200 Slupsk, Poland
DOI:
10.1090/S0002-9939-98-04395-0
PII:
S 0002-9939(98)04395-0
Received by editor(s):
June 2, 1993
Received by editor(s) in revised form:
November 17, 1995 and January 23, 1997
Communicated by:
Albert Baernstein II
Copyright of article:
Copyright
1998,
American Mathematical Society
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