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Paley-Wiener Theorems for the Two-Sided Quaternion Fourier Transform
Journal article   Peer reviewed

Paley-Wiener Theorems for the Two-Sided Quaternion Fourier Transform

Hatem Mejjaoli
Advances in applied Clifford algebras, Vol.27(2), pp.1611-1631
01/06/2017
DOI: https://doi.org/10.1007/s00006-016-0699-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Mathematical Science & Technology
In this paper we establish new real Paley-Wiener theorems for the two-sided quaternion Fourier transform. Next, we prove the Roe's theorem in the context of the quaternion-valued functions. Finally we study the tempered distributions with spectral gaps.

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