General steerable two-sided Clifford Fourier transform, convolution and mustard convolution

DOI10.1007/s00006-016-0687-5zbMath1382.42007OpenAlexW2417868150MaRDI QIDQ1695137

Eckhard M. S. Hitzer

Publication date: 7 February 2018

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

Full work available at URL: https://doi.org/10.1007/s00006-016-0687-5

zbMATH Keywords

frequency domainspatial domainClifford algebra signals

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transforms and operators of Fourier type (43A32)

Related Items

Two-sided Clifford-valued linear canonical transform: properties and Mustard convolution, Heisenberg's and Hardy's uncertainty principles for special relativistic space-time Fourier transformation, Sharp inequalities for geometric Fourier transform and associated ambiguity function, Sharp Hausdorff-Young inequalities for the quaternion Fourier transforms

Uses Software

• BIGEBRA
• CLIFFORD
• Clifford Multivector Toolbox

Cites Work

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