Eigenfunctions of transfer operators and cohomology

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dc.creatorBruggeman, R. W.
dc.creatorMuehlenbruch, T.
dc.date2007-07-09
dc.date.accessioned2026-07-07T10:20:21Z
dc.date.available2026-07-07T10:20:21Z
dc.descriptionThe eigenfunctions with eigenvalues 1 or -1 of the transfer operator of Mayer are in bijective correspondence with the eigenfunctions with eigenvalue 1 of a transfer operator connected to the nearest integer continued fraction algorithm. This is shown by relating these eigenspaces of these operators to cohomology groups for the modular group with coefficients in certain principal series representations.
dc.identifierhttps://arxiv.org/abs/0707.1203
dc.identifierhttp://arxiv.org/abs/0707.1203
dc.identifierJournal of Number Theory 129 (2009) 158-181
dc.identifierdoi:10.1016/j.jnt.2008.08.003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174821
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject37C30; 37D40; 11F67
dc.titleEigenfunctions of transfer operators and cohomology
dc.typetext

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