On the Schwartz space isomorphism theorem for rank one symmetric space

Simple item page
dc.creatorJana, Joydip
dc.creatorSarkar, Rudra P
dc.date2007-09-21
dc.date.accessioned2026-07-07T08:31:23Z
dc.date.available2026-07-07T08:31:23Z
dc.descriptionIn this paper we give a simpler proof of the $L^p$-Schwartz space isomorphism $(0< p\leq 2)$ under the Fourier transform for the class of functions of left $δ$-type on a Riemannian symmetric space of rank one. Our treatment rests on Anker's \cite{A} proof of the corresponding result in the case of left $K$-invariant functions on $X$. Thus we give a proof which relies only on the Paley--Wiener theorem.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0709.3343
dc.identifierhttp://arxiv.org/abs/0709.3343
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138487
dc.subjectRepresentation Theory
dc.subject22E30, 43A85
dc.titleOn the Schwartz space isomorphism theorem for rank one symmetric space
dc.typetext

Files

Collections

arXiv