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Harmonic Analysis and Hartley Transform Associated with the Generalized Differential-Difference Operator
Journal article   Peer reviewed

Harmonic Analysis and Hartley Transform Associated with the Generalized Differential-Difference Operator

Hatem Mejjaoli
Complex analysis and operator theory, Vol.11(6), pp.1351-1369
01/08/2017
DOI: https://doi.org/10.1007/s11785-016-0585-9

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider a new differential-difference operator on the real line. We study the harmonic analysis associated with this operator and we prove the Bochner and Bochner-Schwartz theorems, the Plancherel formula and the inversion theorems for the Hartley transform associated to the operator Lambda.

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