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arXiv · 1311.3122

Spectral structure of transfer operators for expanding circle maps

Oscar F. Bandtlow·Wolfram Just·Julia Slipantschuk
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Abstract

We explicitly determine the spectrum of transfer operators (acting on spaces of holomorphic functions) associated to analytic expanding circle maps arising from finite Blaschke products. This is achieved by deriving a convenient natural representation of the respective adjoint operators.

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Oscar F. Bandtlow, Wolfram Just, Julia Slipantschuk. 2013-11-13. Spectral structure of transfer operators for expanding circle maps. https://arxiv.org/abs/1311.3122

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