Real Paley-Wiener theorems for the space-time Fourier transform

DOI10.1007/s10473-023-0307-0zbMath1524.42020OpenAlexW4367393761WikidataQ122277867 ScholiaQ122277867MaRDI QIDQ6159423

Youssef El Haoui, Mohra Zayed

Publication date: 5 May 2023

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-023-0307-0

zbMATH Keywords

Paley-Wiener theoremspace-time algebraMinkowski algebraspace-time Fourier transform

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

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• Real Paley-Wiener theorems for the Clifford Fourier transform
• Paley-Wiener-type theorems for a class of integral transforms
• Donoho-Stark's uncertainty principles in real Clifford algebras
• Uncertainty principle for space-time algebra-valued functions
• Paley-Wiener and Boas theorems for the quaternion Fourier transform
• Quaternion Fourier transform on quaternion fields and generalizations
• Real Paley-Wiener theorems for the Hankel transform
• GENERALIZED PALEY–WIENER THEOREMS
• An elementary proof of the Paley–Wiener theorem in C^m
• Real Paley–Wiener theorems and local spectral radius formulas
• Generalization of Titchmarsh's theorems for the Minkowski algebra
• Special relativistic Fourier transformation and convolutions

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