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Article information
2002 , Volume 7, ¹ 5, p.36-43
Kananthai A., Suantai S.
On the Fourier transform of the distributional kernel K(alpha, beta, gamma, nu) related to the operator oplus
In this paper, we study the Fourier transform of the kernel where and are complex parameters. The kernel related to the elementary solution of the operator if , where is a nonnegative integer. The operator iterated -times is defined by
where is the dimension of the space of the -dimensional complex space, We also study the Fourier transform of the convolution where are complex parameters.
[full text] Classificator Msc2000:- *35A22 Transform methods (e.g. integral transforms)
- 35L25 General theory of higher-order, hyperbolic equations
- 35M20 PDE of composite type
- 42B10 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Keywords: ultrahyperbolic operator, n-dimensional Diamond operator
Author(s):
Kananthai A
Office: Chiangmai University
Address: Thailand, Chiangmai
E-mail: malamnka@science.cmu.ac.th
Suantai S
Office: Chiangmai University, Department of Mathematics, Thailand
Address: Thailand, Chiangmai
E-mail: malamnka@science.cmu.ac.th
Bibliography link:
Kananthai A., Suantai S. On the Fourier transform of the distributional kernel K(alpha, beta, gamma, nu) related to the operator oplus // Computational technologies. 2002. V. 7. ¹ 5. P. 36-43
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