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- W4287777446 abstract "A class of integral transforms, on the planar Gaussian Hilbert space with range in the weighted Bergman space on the bi-disk, is defined as the dual transforms of the 2d fractional Fourier transform associated with the Mehler function for It^o--Hermite polynomials. Some spectral properties of these transforms are investigated. Namely, we study their boundedness and identify their null spaces as well as their ranges. Such identification depends on the zeros set of It^o--Hermite polynomials. Moreover, the explicit expressions of their singular values are given and compactness and membership in p-Schatten class are studied. The relationship to specific fractional Hankel transforms is also established" @default.
- W4287777446 created "2022-07-26" @default.
- W4287777446 creator A5026949765 @default.
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- W4287777446 date "2020-05-18" @default.
- W4287777446 modified "2023-09-29" @default.
- W4287777446 title "Dual of 2D fractional Fourier transform associated to It^o--Hermite polynomials" @default.
- W4287777446 doi "https://doi.org/10.48550/arxiv.2005.08490" @default.
- W4287777446 hasPublicationYear "2020" @default.
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