Spectral Analysis on Damek-Ricci Space

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dc.creatorAbouelaz, Ahmed
dc.creatorFourchi, Omar El
dc.date2002-07-26
dc.date2002-08-09
dc.date.accessioned2026-07-07T04:29:20Z
dc.date.available2026-07-07T04:29:20Z
dc.descriptionWe define and study the spectral projection operator for compactly supported distributions on Damek-Ricci space NA. The Paley-Wiener-Schwartz theorem and the range of S^{p}(NA)^{#}(0<p<=2) via spectral projection operator are established. The L^{2}-estimation for this operator is also given. In order to do the Paley-Wiener theorem for the non necessary radial function, the spectral projection operator can be uniquely characterized by analyticity and growth condition in lambda of Paley-Wiener theorem type on the unit disk of the complex plane as an example of Damek-Ricci space.
dc.description41 pages, latex. Minor changes
dc.identifierhttps://arxiv.org/abs/math-ph/0207040
dc.identifierhttp://arxiv.org/abs/math-ph/0207040
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57114
dc.subjectMathematical Physics
dc.titleSpectral Analysis on Damek-Ricci Space
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