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A Central Limit Theorem for inner functions

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A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures. Click to show full abstract

A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures.

Keywords: inner functions; theorem; theorem inner; central limit; limit theorem

Journal Title: Advances in Mathematics
Year Published: 2022

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