On the correspondence of Haar-type wavelet series in one and several dimensions

DOI10.1080/00036810802713891zbMath1164.42029OpenAlexW2001139390WikidataQ58291545 ScholiaQ58291545MaRDI QIDQ3634319

Francisco M. Ojeda, Alfredo J. Rios

Publication date: 24 June 2009

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810802713891

zbMATH Keywords

convergence theoremsrepresentation problemequivalent stochastic processesHaar-type wavelets

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Martingales and classical analysis (60G46)

Cites Work

• Multiscale analysis of Gaussian Markov processes of order \(p\) on (0,1)
• Partial sums of orthonormal bases preserving positivity -- and martingales
• Corrigendum/Addendum: Haar bases for \(L^2 (\mathbb{R}^n)\) and algebraic number theory
• Haar type orthonormal wavelet bases in \(R^2\)
• Haar-type multiwavelet bases and self-affine multi-tiles
• Haar bases for \(L^ 2 (\mathbb{R}^ n)\) and algebraic number theory
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Stopping Times and Local Convergence for Spline Wavelet Expansions
• Convergence theorems of martingales

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