Boundary rigidity for some classes of meromorphic functions
classification
🧮 math.CA
math.CV
keywords
generalizedboundaryfunctionfunctionsrigidityasymptoticcarathcircle
read the original abstract
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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