Rational inner functions on bounded symmetric domains

Korányi, Adam; Vági, Stephen

doi:10.1090/S0002-9947-1979-0539914-4

Rational inner functions on bounded symmetric domains
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Trans. Amer. Math. Soc. 254 (1979), 179-193 Request permission

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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