Spectral Analysis on Damek-Ricci Space
数学物理
2007-05-23 v2 math.MP
摘要
We 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.
引用
@article{arxiv.math-ph/0207040,
title = {Spectral Analysis on Damek-Ricci Space},
author = {Ahmed Abouelaz and Omar El Fourchi},
journal= {arXiv preprint arXiv:math-ph/0207040},
year = {2007}
}
备注
41 pages, latex. Minor changes