Schwartz functions on Nash manifolds

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dc.creatorAizenbud, Avraham
dc.creatorGourevitch, Dmitry
dc.date2007-04-22
dc.date2007-12-05
dc.date.accessioned2026-07-07T08:55:09Z
dc.date.available2026-07-07T08:55:09Z
dc.descriptionIn this paper we extend the notions of Schwartz functions, tempered functions and generalized Schwartz functions to Nash (i.e. smooth semi-algebraic) manifolds. We reprove for this case classically known properties of Schwartz functions on $R^n$ and build some additional tools which are important in representation theory.
dc.description35 pages, LaTex. v3:minor changes + reference to results of duCloux
dc.identifierhttps://arxiv.org/abs/0704.2891
dc.identifierhttp://arxiv.org/abs/0704.2891
dc.identifierInternational Mathematics Research Notices, Vol. 2008, 2008: rnm155-37
dc.identifierdoi:10.1093/imrn/rnm155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146184
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.subject14P20; 46F99
dc.titleSchwartz functions on Nash manifolds
dc.typetext

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