IJPAM: Volume 120, No. 1 (2018)

Title

ON THE DIAMOND HEAT KERNEL
RELATED TO THE $\nabla^{k}$ OPERATOR

Authors

Wanchak Satsanit
Department of Mathematics
Faculty of Science
Maejo University
Chiangmai, 50290, THAILAND

Abstract

In this paper, we introduce a Fourier transform method in distribution theory to obtained exact solution of some partial differential equation in n dimension. It was found that the solution of such equation obtained a diamond heat kernel which related to the heat equation.

History

Received: February 22, 2017
Revised: August 12, 2018
Published: August 13, 2018

AMS Classification, Key Words

AMS Subject Classification: 46F10, 46F12
Key Words and Phrases: Fourier transform, spectrum, diamond operator

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Bibliography

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How to Cite?

DOI: 10.12732/ijpam.v120i1.2 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 120
Issue: 1
Pages: 11 - 26


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