Multiresolution approximation scale and time-shift subspaces

DOI10.1007/S11045-006-0002-ZzbMath1142.42322OpenAlexW2126505541MaRDI QIDQ857963

Carlos S. Kubrusly, Nhan Levan

Publication date: 5 January 2007

Published in: Multidimensional Systems and Signal Processing (Search for Journal in Brave)

Full work available at URL: http://www.escholarship.org/uc/item/6c40n8vb

zbMATH Keywords

WaveletMultiresolution approximation scaleTime-shift discrete wavelet transformTime-shift multiresolution approximationTime-shift subspaces

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38)

Related Items (2)

DUAL-SHIFT DECOMPOSITION AND WAVELETS ⋮ Orthogonal decompositions for wavelets

Cites Work

• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Wavelets and stochastic processes
• A wavelet ``time-shift-detail decomposition
• Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
• Wavelets in Wandering Subspaces
• Shifts on Hilbert spaces.
• A theory for multiresolution signal decomposition: the wavelet representation
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• TIME-SHIFTS GENERALIZED MULTIRESOLUTION ANALYSIS OVER DYADIC-SCALING REDUCING SUBSPACES
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