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  • 标题:On the generalized Hartley-Hilbert and Fourier-Hilbert transforms
  • 本地全文:下载
  • 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
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