Weyl–Bessel transforms
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摘要
In this work, we define and study the Wigner–Bessel transform and prove for this transform an inversion formula. Next, we use this transform to define the Weyl–Bessel transform Wσ, where σ is a symbol in Sm,m∈R. Using harmonic analysis associated with the Bessel operator, we study criteria in terms of the symbols σ for the boundedness and compactness of the Weyl–Bessel transform Wσ.
论文关键词:44A15,42A38,Bessel operator,Fourier–Bessel transform,Wigner–Bessel transform,Symbol,Weyl–Bessel transform
论文评审过程:Received 29 October 1999, Available online 3 August 2001.
论文官网地址:https://doi.org/10.1016/S0377-0427(00)00649-X