JournalsaihpcVol. 34, No. 1pp. 31–43

Spectral structure of transfer operators for expanding circle maps

  • Wolfram Just

    School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, UK

  • Julia Slipantschuk

    School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, UK

  • Oscar F. Bandtlow

    School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS, UK
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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.

Cite this article

Wolfram Just, Julia Slipantschuk, Oscar F. Bandtlow, Spectral structure of transfer operators for expanding circle maps. Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 1, pp. 31–43

DOI 10.1016/J.ANIHPC.2015.08.004