文章基本信息

标题：On the generalized Hartley-Hilbert and Fourier-Hilbert transforms
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作者：SKQ Al-Omari ; A Kılıçman
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2012
卷号：2012
期号：1
页码：232
DOI：10.1186/1687-1847-2012-232
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we discuss Hartley-Hilbert and Fourier-Hilbert transforms on a certain class of generalized functions. The extended transforms considered in this article are shown to be well-defined, one-to-one, linear and continuous mappings with respect to δ and Δ convergence. Certain theorems are also established. MSC: 54C40, 14E20, 46E25, 20C20.
关键词：Hilbert transform ; Hartley transform ; Fourier transform ; Hartley-Hilbert transform ; Boehmian space