International Journal of Mathematics and Mathematical Sciences

Volume 2008 (2008), Article ID 287218, 13 pages

doi:10.1155/2008/287218

## Image of L p ( ℝ n ) under the Hermite Semigroup

# R. Radha and D. Venku Naidu

Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

Received 9 June 2008; Revised 8 October 2008; Accepted 9 December 2008

Academic Editor: Misha Rudnev

Copyright © 2008 R. Radha and D. Venku Naidu. 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

It is shown that the Hermite (polynomial) semigroup