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arXiv:1311.3122 [math.DS]AbstractReferencesReviewsResources

Spectral structure of transfer operators for expanding circle maps

Oscar F. Bandtlow, Wolfram Just, Julia Slipantschuk

Published 2013-11-13Version 1

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.

Comments: 13 pages
Categories: math.DS, math.SP
Subjects: 37C30, 30J10, 47A25, 37A25
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