A Fourier transform and convolution of Diamond operator

Volume 12, Issue 10, pp 656--666 http://dx.doi.org/10.22436/jnsa.012.10.04
Publication Date: June 14, 2019 Submission Date: July 20, 2017 Revision Date: February 27, 2019 Accteptance Date: April 30, 2019

Authors

Wanchak Satsanit - Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, 50290, Thailand.


Abstract

In this paper, we define a new operator and give a sense of distribution theory to find the Fourier transform of new operator. It was found that the Fourier transform of new operator related to the Fourier transform of ultrahyperbolic operator and Diamond operator. And we also study the convolution products \(\Box^{k}\delta \ast \Box^{l}\) and \(\diamondsuit^{k}\delta\ast \diamondsuit^{l}.\)


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ISRP Style

Wanchak Satsanit, A Fourier transform and convolution of Diamond operator, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 10, 656--666

AMA Style

Satsanit Wanchak, A Fourier transform and convolution of Diamond operator. J. Nonlinear Sci. Appl. (2019); 12(10):656--666

Chicago/Turabian Style

Satsanit, Wanchak. "A Fourier transform and convolution of Diamond operator." Journal of Nonlinear Sciences and Applications, 12, no. 10 (2019): 656--666


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