On some general hybrid transforms
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摘要
A class of generalized hybrid Fourier transforms is introduced and the associated inversion formulae are derived. Results for the known special cases are found to be straight forward. Certain important relations connecting various types of Fourier transforms are also derived. A simple application of one such generalized transform is explained briefly.
论文关键词:Generalized hybrid Fourier transforms,Hilbert transform,Surface water waves,Surface tension
论文评审过程:Received 24 July 1998, Available online 28 February 2000.
论文官网地址:https://doi.org/10.1016/S0377-0427(99)00320-9