On the solution of the n-dimensional diamond klein-gordon operator and its convolution

In this article, we introduce the diamond Klein-Gordon operator iterated k times, which is defined by where p + q = n is the dimension of ℝ n, for all x = (x 1, x 2,..., x n) ∈ ℝ n, m ≥0 and non-negative integers k. Our aim is to study the fundamental solution of the operator (◇ + m 2) k, to which w...

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Main Authors: Kamsing Nonlaopon, Apisit Lunnaree, Amnuay Kananthai
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/51806
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-518062018-09-04T06:09:26Z On the solution of the n-dimensional diamond klein-gordon operator and its convolution Kamsing Nonlaopon Apisit Lunnaree Amnuay Kananthai Mathematics In this article, we introduce the diamond Klein-Gordon operator iterated k times, which is defined by where p + q = n is the dimension of ℝ n, for all x = (x 1, x 2,..., x n) ∈ ℝ n, m ≥0 and non-negative integers k. Our aim is to study the fundamental solution of the operator (◇ + m 2) k, to which we will refer as the diamond Klein-Gordon kernel. Moreover, we will study the convolution of this kernel. © 2012 Pushpa Publishing House. 2018-09-04T06:09:26Z 2018-09-04T06:09:26Z 2012-04-01 Journal 09720871 2-s2.0-84859152229 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859152229&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51806
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Kamsing Nonlaopon
Apisit Lunnaree
Amnuay Kananthai
On the solution of the n-dimensional diamond klein-gordon operator and its convolution
description In this article, we introduce the diamond Klein-Gordon operator iterated k times, which is defined by where p + q = n is the dimension of ℝ n, for all x = (x 1, x 2,..., x n) ∈ ℝ n, m ≥0 and non-negative integers k. Our aim is to study the fundamental solution of the operator (◇ + m 2) k, to which we will refer as the diamond Klein-Gordon kernel. Moreover, we will study the convolution of this kernel. © 2012 Pushpa Publishing House.
format Journal
author Kamsing Nonlaopon
Apisit Lunnaree
Amnuay Kananthai
author_facet Kamsing Nonlaopon
Apisit Lunnaree
Amnuay Kananthai
author_sort Kamsing Nonlaopon
title On the solution of the n-dimensional diamond klein-gordon operator and its convolution
title_short On the solution of the n-dimensional diamond klein-gordon operator and its convolution
title_full On the solution of the n-dimensional diamond klein-gordon operator and its convolution
title_fullStr On the solution of the n-dimensional diamond klein-gordon operator and its convolution
title_full_unstemmed On the solution of the n-dimensional diamond klein-gordon operator and its convolution
title_sort on the solution of the n-dimensional diamond klein-gordon operator and its convolution
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859152229&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/51806
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