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On the Number of Zeros of Functions in Analytic Quasianalytic Classes

On the Number of Zeros of Functions in Analytic Quasianalytic Classes

A space of analytic functions in the unit disc with uniformly continuous derivatives is said to be quasianalytic if the boundary value of a non-zero function from the class can not have a zero of infinite multiplicity.Such classes were described in the 1950-s and 1960-s by Carleson, Rodrigues-Salinas and Korenblum.A …