Smoothing effects of dispersive equations on real rank one symmetric spaces

Simple item page
dc.creatorKaizuka, Koichi
dc.date2008-08-08
dc.date2008-08-09
dc.date.accessioned2026-07-07T09:55:40Z
dc.date.available2026-07-07T09:55:40Z
dc.descriptionIn this article we prove time-global smoothing effects of dispersive pseudodifferential equations with constant coefficient radially symmetric symbols on real rank one symmetric spaces of noncompact type. We also discuss gain of regularities according to decay rates of initial values for the Schroedinger evolution equation. We introduce some isometric operators and reduce the arguments to the well-known Euclidean case. In our proof, Helgason's Fourier transform and the Radon transform as an elliptic Fourier integral operator play crucial roles.
dc.description25 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0808.1191
dc.identifierhttp://arxiv.org/abs/0808.1191
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166709
dc.subjectAnalysis of PDEs
dc.subject43A85; 35B65; 35S10
dc.titleSmoothing effects of dispersive equations on real rank one symmetric spaces
dc.typetext

Files

Collections

arXiv