Spectral structure of transfer operators for expanding circle maps
Dynamical Systems
2013-11-14 v1 Spectral Theory
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.
Keywords
Cite
@article{arxiv.1311.3122,
title = {Spectral structure of transfer operators for expanding circle maps},
author = {Oscar F. Bandtlow and Wolfram Just and Julia Slipantschuk},
journal= {arXiv preprint arXiv:1311.3122},
year = {2013}
}
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13 pages