Acta mathematica scientia,Series B ›› 2023, Vol. 43 ›› Issue (3): 1105-1115.doi: 10.1007/s10473-023-0307-0

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

Youssef El Haoui1, Mohra Zayed2   

  1. 1. Ecole Normale Supérieure (ENS-Meknès), Moulay Ismail University, Morocco;;
    2. Mathematics Department, College of Science, King Khalid University, Saudi Arabia;
  • Received:2022-02-23 Online:2023-06-25 Published:2023-06-06
  • About author:Youssef El Haoui, E-mail: y.elhaoui@umi.ac.ma; Mohra Zayed, E-mail: mzayed@kku.edu.sa
  • 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.

Key words: Paley-Wiener theorem, Minkowski algebra, space-time algebra, space-time Fourier transform

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