Quaternion-valued admissible wavelets and orthogonal decomposition of \(L^2(IG(2),\mathbb H)\)

DOI10.1007/s11464-007-0030-5zbMath1260.42030OpenAlexW2034317256MaRDI QIDQ934358

Li Zhong Peng, Ji Man Zhao

Publication date: 29 July 2008

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-007-0030-5

zbMATH Keywords

orthogonal decompositionadmissible wavelet transformQuaternion algebra

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items (1)

The quaternionic affine group and related continuous wavelet transforms on complex and quaternionic Hilbert spaces

Cites Work

• The generalized Clifford-Hermite continuous wavelet transform
• Special functions in Clifford analysis and axial symmetry
• Admissible wavelets on the Siegel domain of type one
• Toeplitz and Hankel type operators on the upper half-plane
• Phase space, wavelet transform and Toeplitz-Hankel type operators
• Quaternionic analysis and elliptic boundary value problems
• Clifford-Hermite wavelets in Euclidean space
• Clifford Algebra-valued Admissible Wavelets Associated to More than 2-dimensional Euclidean Group with Dilations
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Wavelet Transform and Toeplitz-Hankel Type Operators.
• Wavelet transform and orthogonal decomposition of space 𝐿² on the Cartan domain 𝐵𝐷𝐼(𝑞=2)
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