Department of Mathematics, School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
Academic Editor: Alexander P. Seyranian
Copyright © 2009 Peizhu Xie and Jianxun He. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Let be the Heisenberg group. The fundamental manifold of the radial function space for
can be denoted by , which is just the Laguerre hypergroup. In this paper the
multiresolution analysis on the Laguerre hypergroup is defined. Moreover the
properties of Haar wavelet bases for are investigated.