DISTRIBUTIONAL AND TEMPERED DISTRIBUTIONAL DIFFRACTION FRESNEL TRANSFORMS AND THEIR EXTENSION TO BOEHMIAN SPACES
Keywords:
diffraction Fresnel transform, tempered distribution, Boehmian space, generalized functionAbstract
In [22], authors investigate the diffraction Fresnel transform on certain space of tempered distributions. Further, they extend their results to a context of Boehmian spaces. In this paper, we discuss various spaces of Boehmians. Spaces, so obtained, can handle the Fresnel transform in some approach. The extended transform and its inverse are therefore considered satisfactory and, are well recognized. Further theorems are also established in some detail.
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Published
2013-05-24
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Al-Omari, S. (2013). DISTRIBUTIONAL AND TEMPERED DISTRIBUTIONAL DIFFRACTION FRESNEL TRANSFORMS AND THEIR EXTENSION TO BOEHMIAN SPACES. Italian Journal of Pure and Applied Mathematics, 30, 179–194. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6092
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Articoli - Forum Editrice
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Copyright (c) 2013 S.K.Q. Al-Omari
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
