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DOI: 10.23671/VNC.2016.4.5980

On Generalization of Fourier and Hartley Transforms for Some Quotient Class of sequences

Al-Omari S. K. Q.
Vladikavkaz Mathematical Journal 2016. Vol. 18. Issue 4.
In this paper we consider a class of distributions and generate two spaces of Boehmians for certain class of integral operators. We derive a convolution theorem and generate two spaces of Boehmians. The integral operator under concern is well-defined, linear and one-to-one in the class of Boehmians. An inverse problem is also discussed in some details.
Keywords: \(H_{\alpha,\beta }^{\rho,\eta }\) transform, Hartley transform, Fourier transform, quotient space.
Language: English Download the full text  
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