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  • 标题:Analytic representation of the distributional finite Hankel transform
  • 本地全文:下载
  • 作者:O. P. Singh ; Ram S. Pathak
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1985
  • 卷号:8
  • DOI:10.1155/S0161171285000345
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Various representations of finite Hankel transforms of generalized functions are obtained. One of the representations is shown to be the limit of a certain family of regular generalized functions and this limit is interpreted as a process of truncation for the generalized functions (distributions). An inversion theorem for the gereralized finite Hankel transform is established (in the distributional sense) which gives a Fourier-Bessel series representation of generalized functions.
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