Real Paley-Wiener theorems for the Clifford Fourier transform

DOI10.1007/s11425-014-4838-7zbMath1306.42012OpenAlexW2270881196MaRDI QIDQ487507

Yingxiong Fu, Luoqing Li

Publication date: 22 January 2015

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4838-7

zbMATH Keywords

Paley-Wiener theoremDirac operatorBoas theoremClifford Fourier transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Clifford algebras, spinors (15A66)

Related Items (8)

Real Paley–Wiener theorem for the quaternion Fourier transform ⋮ Real Paley–Wiener theorems for the special relativistic space-time Fourier transform ⋮ Properties of the fractional Clifford–Fourier transform ⋮ Pitt's inequality and logarithmic uncertainty principle for the Clifford-Fourier transform ⋮ Paley-Wiener-type theorems associated to the Laplace-Bessel operator ⋮ Real Paley-Wiener theorems for the space-time Fourier transform ⋮ Paley-Wiener theorem for a generalized Fourier transform associated to a Dunkl-type operator ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform

Cites Work

• Clifford Fourier transformation and uncertainty principle for the Clifford geometric algebra \(\mathrm{Cl}_{3,0}\)
• Clifford Fourier transform on multivector fields and uncertainty principles for dimensions \(n=2\pmod 4\) and \(n=3\pmod 4\)
• The Paley-Wiener theorem in \(\mathbb{R}^n\) with the Clifford analysis setting
• Paley-Wiener-type theorems for a class of integral transforms
• Spectrum of functions and distributions for the Jacobi-Dunkl transform on \(\mathbb R\)
• The two-dimensional Clifford-Fourier transform
• Real Paley-Wiener theorems for the Hankel transform
• The Clifford-Fourier transform
• GENERALIZED PALEY–WIENER THEOREMS
• A Property of Infinitely Differentiable Functions
• Real Paley–Wiener theorems and local spectral radius formulas
• Spectrum of signals
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