On the Diamond Bessel Heat Kernel

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.

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Bibliographic Details
Main Author: Wanchak Satsanit
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2011/951960
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author Wanchak Satsanit
author_facet Wanchak Satsanit
author_sort Wanchak Satsanit
collection DOAJ
description 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.
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2011-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-b1b9cf6756c44174ad93db723f12a2862025-02-03T01:21:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/951960951960On the Diamond Bessel Heat KernelWanchak Satsanit0Department of Mathematics, Faculty of Science, Maejo University, Chiangmai 50290, ThailandWe 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.http://dx.doi.org/10.1155/2011/951960
spellingShingle Wanchak Satsanit
On the Diamond Bessel Heat Kernel
Journal of Applied Mathematics
title On the Diamond Bessel Heat Kernel
title_full On the Diamond Bessel Heat Kernel
title_fullStr On the Diamond Bessel Heat Kernel
title_full_unstemmed On the Diamond Bessel Heat Kernel
title_short On the Diamond Bessel Heat Kernel
title_sort on the diamond bessel heat kernel
url http://dx.doi.org/10.1155/2011/951960
work_keys_str_mv AT wanchaksatsanit onthediamondbesselheatkernel