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arXiv · 0812.4570

Boundary rigidity for some classes of meromorphic functions

Vladimir Bolotnikov
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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.

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Vladimir Bolotnikov. 2008-12-24. Boundary rigidity for some classes of meromorphic functions. https://arxiv.org/abs/0812.4570

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