Geodesic
A Fourier transform and convolution of Diamond operator
Satsanit, Wanchak 1
1 Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, 50290, Thailand
Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 10, p. 656-666.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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 $\diamondsuit^{k}\delta\ast \diamondsuit^{l}.$
DOI : 10.22436/jnsa.012.10.04
Classification : 46F10, 46F12
Keywords: Diamond operator, Fourier transform, hypersurface

Satsanit, Wanchak  1

1 Department of Mathematics, Faculty of Science, Maejo University, Chiang Mai, 50290, Thailand 
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Satsanit, Wanchak . A Fourier transform and convolution of  Diamond  operator. Journal of nonlinear sciences and its applications, Tome 12 (2019) no. 10, p. 656-666. doi : 10.22436/jnsa.012.10.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.012.10.04/

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