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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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 |
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Mathematics Kamsing Nonlaopon Apisit Lunnaree Amnuay Kananthai On the solution of the n-dimensional diamond klein-gordon operator and its convolution |
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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. |
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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 |
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2018 |
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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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