Boundary rigidity for some classes of meromorphic functions

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 Carathéodory and generalized Nevanlinna functions.

Cited by in corpus (1)

• Truncated moment problems in the class of generalized Nevanlinna functions