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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the Szegő kernel of an annulus


Authors: Scott McCullough and Li-Chien Shen
Journal: Proc. Amer. Math. Soc. 121 (1994), 1111-1121
MSC: Primary 30C40; Secondary 46E22
MathSciNet review: 1189748
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Abstract: In this paper we introduce a class of reproducing kernels of an annulus. Using the properties of the theta functions, we obtain a set of functional equations involving these kernels. We discuss some extremal problems associated with the functional equations.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1189748-9
PII: S 0002-9939(1994)1189748-9
Article copyright: © Copyright 1994 American Mathematical Society