Paley-Wiener and Boas theorems for the quaternion Fourier transform

DOI10.1007/s00006-013-0412-6zbMath1286.42004OpenAlexW2044443259MaRDI QIDQ2443914

Luoqing Li, Yingxiong Fu

Publication date: 8 April 2014

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-013-0412-6

zbMATH Keywords

Paley-Wiener theoremquaternion Fourier transformRiemann-Lebesgue theoremBoas theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (11)

Real Paley–Wiener theorem for the quaternion Fourier transform ⋮ Real Paley–Wiener theorems for the special relativistic space-time Fourier transform ⋮ Novel uncertainty principles for two-sided quaternion linear canonical transform ⋮ Quaternion and fractional Fourier transform in higher dimension ⋮ Properties of the fractional Clifford–Fourier transform ⋮ Paley-Wiener-type theorems associated to the Laplace-Bessel operator ⋮ Spectrum of quaternion signals associated with quaternion linear canonical transform ⋮ Real Paley-Wiener theorems for the space-time Fourier transform ⋮ The 2-D hyper-complex Gabor quadratic-phase Fourier transform and uncertainty principles ⋮ Paley-Wiener theorem for a generalized Fourier transform associated to a Dunkl-type operator ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform

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