REAL PALEY-WIENER THEOREMS FOR THE SPACE-TIME FOURIER TRANSFORM*

  • Youssef El Haoui ,
  • Mohra Zayed
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  • 1. Ecole Normale Supérieure (ENS-Meknès), Moulay Ismail University, Morocco;;
    2. Mathematics Department, College of Science, King Khalid University, Saudi Arabia;
Youssef El Haoui, E-mail: y.elhaoui@umi.ac.ma; Mohra Zayed, E-mail: mzayed@kku.edu.sa

Received date: 2022-02-23

  Online published: 2023-06-06

Supported by

Deanship of Scientific Research at King Khalid University, Saudi Arabia (R.G.P.1/207/43).

Abstract

This paper presents an extension of certain forms of the real Paley-Wiener theorems to the Minkowski space-time algebra. Our emphasis is dedicated to determining the space-time valued functions whose space-time Fourier transforms (SFT) have compact support using the partial derivatives operator and the Dirac operator of higher order.

Cite this article

Youssef El Haoui , Mohra Zayed . REAL PALEY-WIENER THEOREMS FOR THE SPACE-TIME FOURIER TRANSFORM*[J]. Acta mathematica scientia, Series B, 2023 , 43(3) : 1105 -1115 . DOI: 10.1007/s10473-023-0307-0

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