Uncertainty principles and characterization of the heat kernel for certain differential-reflection operators
Résumé
We prove various versions of uncertainty principles for a certain Fourier transform $\mathcal F_A.$
Here $A$ is a Chébli function (i.e. a Sturm-Liouville function with additional hypotheses).
We mainly establish an analogue of Beurling's theorem, and its relatives such as theorems of type Gelfand-Shilov, Morgan's, Hardy's, and Cowling-Price, for $\mathcal F_A,$ and relating them to the characterization of the heat kernel corresponding to $\mathcal F_A.$
Heisenberg's and local uncertainty inequalities were also proved.
Domaines
Analyse fonctionnelle [math.FA]
Origine : Fichiers produits par l'(les) auteur(s)
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