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Transmutation operators and Paley-Wiener theorem associated with a differential-difference operator on the real line
Journal article

Transmutation operators and Paley-Wiener theorem associated with a differential-difference operator on the real line

M A Mourou and K Trimeche
Comptes rendus de l'Académie des sciences. Série I. Mathématique, Vol.332(5), pp.397-400
01/03/2001
DOI: https://doi.org/10.1016/S0764-4442(01)01863-8

Abstract

Mathematics Physical Sciences Science & Technology
We consider a singular differential-difference operator h on the real line. We construct a pair of integral transforms which transmute Lambda into the first derivative operator d/dx. We foe these transmutation operators to develop a new commutative harmonic analysis on the real line corresponding to the operator Lambda. (C) 2001 Academie des sciences/Editions scientifiques ct medicales Elsevier SAS.

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