Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2011 (2011), Article ID 951960, 15 pages
http://dx.doi.org/10.1155/2011/951960
Research Article

On the Diamond Bessel Heat Kernel

Department of Mathematics, Faculty of Science, Maejo University, Chiangmai 50290, Thailand

Received 19 July 2011; Accepted 2 November 2011

Academic Editor: Tak-Wah Lam

Copyright © 2011 Wanchak Satsanit. 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 study the heat equation in n dimensional by Diamond Bessel operator. We find the solution by method of convolution and Fourier transform in distribution theory and also obtain an interesting kernel related to the spectrum and the kernel which is called Bessel heat kernel.