文章基本信息

标题：Estimates of certain paraxial diffraction integral operator and its generalized properties
本地全文：下载
作者：Shrideh Al-Omari ; Serkan Araci ; Mohammed Al-Smadi 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-11
DOI：10.1186/s13662-020-02859-8
出版社：Hindawi Publishing Corporation
摘要：This paper aims to discuss a generalization of certain paraxial diffraction integral operator in a class of generalized functions. At the start of this paper, we propose a convolution formula and establish certain convolution theorem. Then, with the addition to the convolution theorem, we consider a set of approximating identities and substantially employ our results in generating sets of integrable and locally integrable Boehmians. The said generalized integral operator is tested and declared to be one-to-one and onto mapping. Continuity of the generalized operator with respect to the convergence of the Boehmian spaces is obtained. Over and above, an inversion formula and consistency results are also counted.
关键词：Optical Fresnel integral;Paraxial diffraction integral;Fractional Fourier integral;Boehmians;