Automorphic hyperfunctions and period functions

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dc.creatorBruggeman, Roelof W.
dc.date1995-08-02
dc.date.accessioned2026-07-07T09:15:22Z
dc.date.available2026-07-07T09:15:22Z
dc.descriptionWe consider invariant hyperfunctions associated to automorphic forms on the upper half plane. We give two interpretations of the period function of Maass forms introduced by Lewis. The first interpretation shows that the period function arises from the explicit description of a representative of the hyperfunction associated to the Maass form. Under certain conditions, automorphic forms determine cohomology classes in a cohomology group with values in the hyperfunctions with bounded support on the line. A map from hyperfunctions to holomorphic functions leads to a second, cohomological, interpretation of the period function.
dc.description45 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/math/9508202
dc.identifierhttp://arxiv.org/abs/math/9508202
dc.identifierJ. reine angew. Math. 492 (1997) 1-39
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152996
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.titleAutomorphic hyperfunctions and period functions
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