Demystification of the geometric Fourier transforms and resulting convolution theorems

DOI10.1002/MMA.3607zbMath1339.42010OpenAlexW1790892778MaRDI QIDQ2809506

Gerik Scheuermann, Roxana Bujack, Eckhard M. S. Hitzer

Publication date: 30 May 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3607

zbMATH Keywords

Clifford algebrageometric algebraconvolution theoremtrigonometric transformClifford-Fourier transforms

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Clifford algebras, spinors (15A66) Other transforms and operators of Fourier type (43A32)

Related Items (1)

New applications of Clifford's geometric algebra

Cites Work

• The class of Clifford-Fourier transforms
• Clifford Fourier transform on multivector fields and uncertainty principles for dimensions \(n=2\pmod 4\) and \(n=3\pmod 4\)
• Hypercomplex Fourier and Laplace transforms. I
• A general geometric Fourier transform convolution theorem
• Convolution products for hypercomplex Fourier transforms
• The Clifford-Fourier integral kernel in even dimensional Euclidean space
• Quaternion Fourier transform on quaternion fields and generalizations
• The Clifford-Fourier transform
• The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations
• Square Roots of –1 in Real Clifford Algebras
• A General Geometric Fourier Transform
• Clifford–Fourier Transform and Spinor Representation of Images
• The Cylindrical Fourier Transform
• Trivector Fourier transformation and electromagnetic field

This page was built for publication: Demystification of the geometric Fourier transforms and resulting convolution theorems