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.
@article{AIHPC_2017__34_1_31_0,
author = {Bandtlow, Oscar F. and Just, Wolfram and Slipantschuk, Julia},
title = {Spectral structure of transfer operators for expanding circle maps},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {31--43},
year = {2017},
publisher = {Elsevier},
volume = {34},
number = {1},
doi = {10.1016/j.anihpc.2015.08.004},
mrnumber = {3592677},
zbl = {1377.37035},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2015.08.004/}
}
TY - JOUR AU - Bandtlow, Oscar F. AU - Just, Wolfram AU - Slipantschuk, Julia TI - Spectral structure of transfer operators for expanding circle maps JO - Annales de l'I.H.P. Analyse non linéaire PY - 2017 SP - 31 EP - 43 VL - 34 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpc.2015.08.004/ DO - 10.1016/j.anihpc.2015.08.004 LA - en ID - AIHPC_2017__34_1_31_0 ER -
%0 Journal Article %A Bandtlow, Oscar F. %A Just, Wolfram %A Slipantschuk, Julia %T Spectral structure of transfer operators for expanding circle maps %J Annales de l'I.H.P. Analyse non linéaire %D 2017 %P 31-43 %V 34 %N 1 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpc.2015.08.004/ %R 10.1016/j.anihpc.2015.08.004 %G en %F AIHPC_2017__34_1_31_0
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
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