The composition of fractional Hankel wavelet transform on some function spaces
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摘要
In this article, we discussed some fruitful estimates for the composition of Hankel wavelet transform associated with fractional Hankel transform on the Sobolev type space. Parseval’s identity is proposed for composition of Hankel wavelet transform. Plancherel’s formula is obtained. Also boundedness results of composition of Hankel wavelet transform is given on certain function spaces.
论文关键词：Fractional Hankel transform,Fractional Hankel convolution,Wavelet transform,Sobolev type space,Zemanian type Space
论文评审过程：Received 12 December 2017, Revised 8 May 2018, Accepted 13 May 2018, Available online 30 May 2018, Version of Record 30 May 2018.
论文官网地址：https://doi.org/10.1016/j.amc.2018.05.029
