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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Analyticity and continuation of certain functions of two complex variables


Author: Carl H. Fitzgerald
Journal: Proc. Amer. Math. Soc. 25 (1970), 536-540
MSC: Primary 32.35
DOI: https://doi.org/10.1090/S0002-9939-1970-0261034-4
MathSciNet review: 0261034
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Abstract: This paper shows that the satisfaction of a certain quadratic relation is a sufficient condition that a continuous, symmetric function of two complex variables on a domain be analytic and be continuable to a particular larger domain. This quadratic relation is of the same type as that involved in the Grunsky inequalities.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0261034-4
Keywords: Grunsky inequalities, Bergman kernel function, analytic continuation, two complex variables, doubly orthogonal functions
Article copyright: © Copyright 1970 American Mathematical Society