Extremal functions and uncertainty principles for fourier multipliers on the Laguerre hypergroup
Abstract
The main purpose of this paper is to introduce the Fourier multipliers operators on the Laguerre hypergroup and to give some new results related to these operators as Parseval’s, Plancherel’s, Calder´on’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernels we give best estimates and an integral representation of the extremal functions related to these operators.
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Copyright (c) 2024 A. Chana, A. Akhlidj, S. Arhilas
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