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.
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Acknowledgements
The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University, Saudi Arabia, for funding this work through research groups program under grant R.G.P.1/207/43.
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This work was supported by the Deanship of Scientific Research at King Khalid University, Saudi Arabia (R.G.P.1/207/43).
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El Haoui, Y., Zayed, M. Real Paley-Wiener Theorems for the Space-Time Fourier Transform. Acta Math Sci 43, 1105–1115 (2023). https://doi.org/10.1007/s10473-023-0307-0
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DOI: https://doi.org/10.1007/s10473-023-0307-0