Continuous and discrete Bessel wavelet transforms

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摘要

Using the theory of Hankel convolution, continuous and discrete Bessel wavelet transforms are defined. Certain boundedness results and inversion formula for the continuous Bessel wavelet transform are obtained. Important properties of the discrete Bessel wavelet transform are given.

论文关键词：33A40,42C10,Continuous Bessel wavelet transform,Discrete Bessel wavelet transform,Hankel transform,Hankel convolution

论文评审过程：Received 21 November 2002, Revised 21 April 2003, Available online 19 September 2003.

论文官网地址：https://doi.org/10.1016/S0377-0427(03)00626-5