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Some Representations of Translations of the Product of Two Functions for Hankel Transforms and Jacobi Transforms

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Constructive Approximation Aims and scope

Abstract

By introducing a series of operators Ty(m), m = 0,1,. . . , a representation of the generalized translation of the product of two functions associated to Hankel transforms is given. These operators have certain properties of finite differences. The analogous problem related to Jacobi transforms is also studied.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China

    Zhongkai Li

  2. Department of Mathematics, Capital Normal University, Beijing 100037, China

    Lizhong Peng

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  1. Zhongkai Li
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  2. Lizhong Peng
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Correspondence to Zhongkai Li or Lizhong Peng.

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Li, Z., Peng, L. Some Representations of Translations of the Product of Two Functions for Hankel Transforms and Jacobi Transforms. Constr Approx 26, 115–125 (2007). https://doi.org/10.1007/s00365-006-0668-x

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  • DOI: https://doi.org/10.1007/s00365-006-0668-x

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