Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 132186, 12 pages
doi:10.1155/2010/132186
Research Article

The Calderón Reproducing Formula Associated with the Heisenberg Group Hd

Jinsen Xiao and Jianxun He

Department of Mathematics, School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

Received 9 October 2009; Accepted 20 May 2010

Academic Editor: Victoria Vampa

Copyright © 2010 Jinsen Xiao 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.

Abstract

We establish the Calderón reproducing formula for functions in L2 on the Heisenberg group Hd. Also, we develop this formula in Lp(Hd) with 1<p<∞.