Spectral structure of transfer operators for expanding circle maps

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• 作者：Oscar F. Bandtlow ^{o.bandtlow@qmul.ac.uk} ; Wolfram Just ^{w.just@qmul.ac.uk} ; Julia Slipantschuk ; ^{j.slipantschuk@qmul.ac.uk}
• 关键词：Spectrum of transfer operators ; Analytic circle maps ; Mixing rates ; Blaschke products ; Adjoint operators ; Expanding maps
• 刊名：Annales de l'Institut Henri Poincare (C) Non Linear Analysis
• 出版年：2017
• 出版时间：January-February 2017
• 年：2017
• 卷：34
• 期：1
• 页码：31-43
• 全文大小：328 K
• 卷排序：34

文摘

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.