Continuous wavelet transforms on the space \(L^{2}(\mathbf R,\mathbb H; dx)\)

DOI10.1016/S0893-9659(04)90021-3zbMath1040.42031MaRDI QIDQ1433245

D. Massart

Publication date: 15 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

continuous wavelet transformCalderón reproducing formulaadmissibility condition

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Analysis on other specific Lie groups (43A80)

Related Items (20)

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Cites Work

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• Banach spaces related to integrable group representations and their atomic decompositions. I
• Quaternionic modular groups
• Admissible wavelets associated with the affine automorphism group of the Siegel upper half-plane
• Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space
• Admissible wavelets associated with the Heisenberg group
• A Commutative Multiplication of Number Triplets
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Wavelet Transform and Toeplitz-Hankel Type Operators.
• Quaternionic analysis
• Wavelet analysis of matrix–valued time–series
• Wavelets on the n-sphere and related manifolds
• The Quaternion Calculus
• Wavelet Transforms Associated to Square Integrable Group Representations on L 2 ( C , H ; dz )

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