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  • 标题:A generalized inversion formula for the continuous Jacobi transform
  • 本地全文:下载
  • 作者:Ahmed I. Zayed
  • 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:1987
  • 卷号:10
  • DOI:10.1155/S0161171287000796
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper we extend the definition of the continuous Jacobi transform to a class of generalized functions and obtain a generalized inversion formula for it. As a by-product of our technique we obtain a necessary and sufficient condition for an analytic function F(λ) in Reλ>0 to be the continuous Jacobi transform of a generalized function.
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