Geodesic
Spectral structure of transfer operators for expanding circle maps
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 1, pp. 31-43.

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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.

DOI : 10.1016/j.anihpc.2015.08.004
Keywords: Spectrum of transfer operators, Analytic circle maps, Mixing rates, Blaschke products, Adjoint operators, Expanding maps 
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Bandtlow, Oscar F.; Just, Wolfram; Slipantschuk, Julia. Spectral structure of transfer operators for expanding circle maps. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 1, pp. 31-43. doi : 10.1016/j.anihpc.2015.08.004. http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2015.08.004/

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