UNCERTAINTY PRINCIPLES AND CALDER ´ON’S FORMULAS FOR THE DEFORMED HANKEL 𝐿^2_𝛼-MULTIPLIER OPERATORS by A. Chana, A. Akhlidj

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Best approximation of Hartley-Bessel multiplier operators on weighted Sobolev spaces by Ahmed Chana, Abdellatif Akhlidj

“… The main goal of this paper is to introduce the Hartley-Bessel \(L^2_\alpha\)-multiplier operators and to give for them some new results as Plancherel’s, Calderon’s reproducing formulas and Heisenberg’s, Donoho-Stark’s uncertainty principles. Next, using the theory of reproducing kernels we give best approximation and an integral representation of the extremal functions related to these operators on weighted Sobolev spaces.      …”
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