一类偏微分算子系统的调和分析与积分变换

IF 0.4 Q4 MATHEMATICS

Transactions of A Razmadze Mathematical Institute Pub Date : 2017-08-01 DOI:10.1016/j.trmi.2017.01.001

Nawel Alaya , Moncef Dziri

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引用次数: 0

摘要

本文考虑一个广义的偏微分算子系统，定义了相关的傅里叶变换，并建立了一些谐波分析结果。我们还研究了一类广泛的Riemann-Liouville型的积分变换。特别地，我们给出了这些积分的核值，反演公式和对偶的Plancherel定理。

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

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.

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来源期刊

Transactions of A Razmadze Mathematical Institute MATHEMATICS-

CiteScore

0.50

自引率

50.00%

发文量

审稿时长

22 weeks