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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Rational inner functions on bounded symmetric domains


Authors: Adam Korányi and Stephen Vági
Journal: Trans. Amer. Math. Soc. 254 (1979), 179-193
MSC: Primary 32M15; Secondary 32A30
MathSciNet review: 539914
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Abstract: It is shown that the rational inner functions on any bounded symmetric domain are given by a generalized version of a formula found by Rudin and Stout in the case of the polydisc. In particular, it is shown that all rational inner functions are constant on symmetric domains which have no irreducible factor of tube type.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1979-0539914-4
PII: S 0002-9947(1979)0539914-4
Article copyright: © Copyright 1979 American Mathematical Society