The fractional Clifford-Fourier transform

DOI10.1007/s11785-012-0229-7zbMath1322.30018arXiv1209.5955OpenAlexW1996748822MaRDI QIDQ371732

Hendrik De Bie, Nele De Schepper

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5955

zbMATH Keywords

Clifford analysisintegral kernelClifford-Fourier transformfractional 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)

Related Items

Some Generalized Clifford-Jacobi Polynomials and Associated Spheroidal Wavelets ⋮ Operator exponentials for the Clifford Fourier transform on multivector fields in detail ⋮ A new construction of the Clifford-Fourier kernel ⋮ Quaternion and fractional Fourier transform in higher dimension ⋮ Two-sided fractional Clifford–Fourier transformation ⋮ Fractional Clifford-Fourier transform and its application ⋮ Two-sided Clifford-valued linear canonical transform: properties and Mustard convolution ⋮ The fractional Clifford-Fourier kernel ⋮ Convolution products for hypercomplex Fourier transforms ⋮ Spectrums of functions associated to the fractional Clifford-Fourier transform ⋮ Clifford–Fourier transform on hyperbolic space ⋮ On the Clifford short-time Fourier transform and its properties

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