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Transactions of A. Razmadze Mathematical Institute | Vol.171, Issue.2 | | Pages

Harmonic analysis and integral transforms associated with a class of a system of partial differential operators

Nawel Alaya,Moncef Dziri

Abstract

In this work, we consider a generalized system of partial differential operators, we define the related Fourier transform and establish some harmonic analysis results. We also investigate a wide class of integral transforms of Riemann–Liouville type. In particular we give a good estimate of these integrals kernels, inversion formula and a Plancherel theorem for the dual. Keywords: Fourier transform, Convolution product, Integral operators, Mehler representation, Dual operator, Inversion formula

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Harmonic analysis and integral transforms associated with a class of a system of partial differential operators

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Keywords

generalized system of partial differential operators inversion formula integral transforms of riemannliouville dual keywords fourier transform convolution product integral operators mehler representation dual related fourier transform harmonic analysis

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Nawel Alaya,Moncef Dziri,.Harmonic analysis and integral transforms associated with a class of a system of partial differential operators. 171 (2),.

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