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

摘要

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.