A Fourier transform and convolution of Diamond operator
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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
Keywords
- Diamond operator
- Fourier transform
- hypersurface
MSC
References
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