Some equations relating multiwavelets and multiscaling functions

DOI10.1016/J.JFA.2005.01.015zbMath1079.42025arXivmath/0511151OpenAlexW2058327990MaRDI QIDQ2566074

Dorin Ervin Dutkay

Publication date: 22 September 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511151

zbMATH Keywords

tracewaveletframescaling functionshift invariance

Mathematics Subject Classification ID

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

Related Items (6)

Nonuniform super wavlets in L^2 (K) ⋮ Closure of dilates of shift-invariant subspaces ⋮ The solution of a problem of Coifman, Meyer, and Wickerhauser on wavelet packets ⋮ Localized bases in \(L^2(0,1)\) and their use in the analysis of Brownian motion ⋮ Intrinsic \(s\)-elementary Parseval frame multiwavelets in \(L^2(\mathbb R^d)\) ⋮ On stable refinable function vectors with arbitrary support

Cites Work

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• Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
• Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
• The spectral function of shift-invariant spaces
• The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
• Frame wavelet sets in \({\mathbb{R}}^{d}\)
• Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
• On characterizations of multiwavelets in $L^{2}(\mathbb {R}^n)$
• Ten Lectures on Wavelets
• Wandering vectors for unitary systems and orthogonal wavelets
• Frames and Stable Bases for Shift-Invariant Subspaces of L₂(ℝ^d)

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