Gramian analysis of multivariate frame multiresolution analyses

DOI10.1017/S0004972700040132zbMath1026.42031OpenAlexW2057169467MaRDI QIDQ4804623

Jae Kun Lim

Publication date: 13 July 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700040132

zbMATH Keywords

frame multiresolution analysisshift-invariant subspacesminimal wavelet set

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items

Internal structure of the multiresolution analyses defined by the unitary extension principle ⋮ The infimum cosine angle between two finitely generated shift-invariant spaces and its applica\-tions

Cites Work

• Unnamed Item
• The theory of multiresolution analysis frames and applications to filter banks
• Shift-invariant spaces and linear operator equations
• The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• On the construction of multivariate (pre)wavelets
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Continuous and Discrete Wavelet Transforms
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)
• On frame wavelets associated with frame multiresolution analysis