A NEW APPROACH TO A CERTAIN GENERALIZED INTEGRAL TRANSFORM FOR CERTAIN SPACE OF BOEHMIANS

Authors

  • S.K.Q. Al-Omari Al-Balqa’ Applied University - Department of Applied Sciences

Keywords:

\(ı_{α,\mathbb{R}}^{β,γ}\) Transform, Fourier Transform Pair, Distribution Space, Generalized Function, Boehmian, Hartley Transform Pair

Abstract

In this article, we introduce a generalization of Fourier and Hartely transforms.  The transform we have obtained has been investigated on certain space of distributions.  Two spaces of Boehmians are also established.  The extended transform is then obtained and is well-defined, linear, one-to-one and onto mapping.  More properties are also illustrated.

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Published

2014-08-22

How to Cite

Al-Omari, S. (2014). A NEW APPROACH TO A CERTAIN GENERALIZED INTEGRAL TRANSFORM FOR CERTAIN SPACE OF BOEHMIANS. Italian Journal of Pure and Applied Mathematics, 32, 359–368. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6206

Issue

Section

Articoli - Forum Editrice

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