Boundary rigidity for some classes of meromorphic functions

Details Boundary rigidity for some classes of meromorphic functions Boundary rigidity for some classes of meromorphic functions

2008-12-24

arxiv.org/abs/0812.4570v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Sufficient boundary asymptotic conditions are established for a generalized
Schur function $f$ to be identically equal to a given rational function $g$
unimodular on the unit circle. Similar rigidity statements are presented for
generalized Carath\'eodory and generalized Nevanlinna functions.

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