Eigenfunctions of transfer operators and automorphic forms for Hecke triangle groups of infinite covolume

Roelof Bruggeman, Anke Pohl

Research output: Working paperPreprintAcademic

Abstract

We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spaces and spaces of eigenfunctions of transfer operators. These results show a deep relation between spectral entities of Hecke surfaces of infinite volume and the dynamics of their geodesic flows.
Original languageEnglish
PublisherarXiv
Pages1-138
DOIs
Publication statusPublished - 25 Sept 2019

Keywords

  • math.NT
  • math.SP
  • Primary: 11F12, 11F67, 37C30, Secondary: 11F72, 30F35, 37D40

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