Clifford algebra-valued wavelet transform on multivector fields

DOI10.1007/S00006-010-0239-3zbMath1217.15032OpenAlexW2082847977MaRDI QIDQ537489

Sriwulan Adji, Mawardi Bahri, Ji Man Zhao

Publication date: 20 May 2011

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

Full work available at URL: https://doi.org/10.1007/s00006-010-0239-3

zbMATH Keywords

inversion formulauncertainty principlewavelet transforminner productClifford algebraClifford Fourier transformClifford admissible waveletClifford Hermite waveletsClifford Morlet waveletsnorm relationsimilitude group

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Clifford algebras, spinors (15A66)

Related Items (7)

Clifford-valued Stockwell transform and the associated uncertainty principles ⋮ Continuous quaternion fourier and wavelet transforms ⋮ Clifford valued shearlet transform ⋮ Clifford-valued Ridgelet transform: localization operators and uncertainty principles ⋮ Uncertainty principles for the right-sided multivariate continuous quaternion wavelet transform ⋮ Two-dimensional quaternion wavelet transform ⋮ Clifford-valued wave-packet transform with applications to benchmark signals

Cites Work

• A friendly guide to wavelets
• 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 \(n=3\pmod 4\)
• New foundations for classical mechanics
• Foundations of time-frequency analysis
• Constructions of Clifford wavelets
• Coherent states, wavelets and their generalizations
• Clifford-Hermite wavelets in Euclidean space
• Benchmarking of Three-Dimensional Clifford Wavelet Functions
• Clifford Algebra-valued Admissible Wavelets Associated to More than 2-dimensional Euclidean Group with Dilations
• CLIFFORD ALGEBRA Cl_3,0-VALUED WAVELET TRANSFORMATION, CLIFFORD WAVELET UNCERTAINTY INEQUALITY AND CLIFFORD GABOR WAVELETS
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