The Schwartz algebra of an affine Hecke algebra

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dc.creatorDelorme, Patrick
dc.creatorOpdam, Eric
dc.date2003-12-31
dc.date.accessioned2026-07-07T05:04:18Z
dc.date.available2026-07-07T05:04:18Z
dc.descriptionFor a general affine Hecke algebra H we study its Schwartz completion S. The main theorem is an exact description of the image of S under the Fourier isomorphism. An important ingredient in the proof of this result is the definition and computation of the constant terms of a coefficient of a generalized principal series representation. Finally we discuss some consequences of the main theorem for the theory of tempered representations of H.
dc.identifierhttps://arxiv.org/abs/math/0312517
dc.identifierhttp://arxiv.org/abs/math/0312517
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69749
dc.subjectRepresentation Theory
dc.subject20C08; 22D25, 22E35, 43A30
dc.titleThe Schwartz algebra of an affine Hecke algebra
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