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k-Hankel Gabor Transform on R-d and Its Applications to the Reproducing Kernel Theory
Journal article   Peer reviewed

k-Hankel Gabor Transform on R-d and Its Applications to the Reproducing Kernel Theory

Hatem Mejjaoli
Complex analysis and operator theory, Vol.15(1)
01/02/2021
DOI: https://doi.org/10.1007/s11785-020-01042-x

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce and we study the k-Hankel Gabor transform on R-d with radial windows. We investigate for this transform the general theory of reproducing kernels theory. In particular we study some time-frequency concentration problems and we give some applications of the Tikhonov regularization on the generalized Sobolev spaces.

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