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

doi:10.1007/s10473-023-0307-0

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (3): 1105-1115.doi: 10.1007/s10473-023-0307-0

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

Youssef El Haoui¹, Mohra Zayed²

1. Ecole Normale Supérieure (ENS-Meknès), Moulay Ismail University, Morocco;;
2. Mathematics Department, College of Science, King Khalid University, Saudi Arabia;

收稿日期:2022-02-23 出版日期:2023-06-25 发布日期:2023-06-06
作者简介:Youssef El Haoui, E-mail: y.elhaoui@umi.ac.ma; Mohra Zayed, E-mail: mzayed@kku.edu.sa
基金资助:
Deanship of Scientific Research at King Khalid University, Saudi Arabia (R.G.P.1/207/43).

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

Youssef El Haoui¹, Mohra Zayed²

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).

摘要/Abstract

摘要： 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.

关键词: Paley-Wiener theorem, Minkowski algebra, space-time algebra, space-time Fourier transform

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

Youssef El Haoui, Mohra Zayed. REAL PALEY-WIENER THEOREMS FOR THE SPACE-TIME FOURIER TRANSFORM^*[J]. 数学物理学报(英文版), 2023, 43(3): 1105-1115.

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.

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

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

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