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arXiv 0812.4570math.CAmath.CV
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Boundary rigidity for some classes of meromorphic functions

Vladimir Bolotnikov

英文摘要:

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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