On the vaguelet and Riesz properties of \(L^2\)-unbounded transformations of orthogonal wavelet bases

DOI10.1016/j.jat.2013.09.001zbMath1281.42037arXiv1210.2777OpenAlexW194038247MaRDI QIDQ390692

Stéphane Jaffard, Gustavo Didier, Vladas Pipiras

Publication date: 8 January 2014

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2777

zbMATH Keywords

waveletsstochastic processesRiesz basesunbounded transformationsvaguelets

Mathematics Subject Classification ID

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

Cites Work

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• Dual wavelet frames and Riesz bases in Sobolev spaces
• Elliptic Gaussian random processes
• Wavelets, generalized white noise and fractional integration: The synthesis of fractional Brownian motion
• Fractional-order regularization and wavelet approximation to the inverse estimation problem for random fields
• Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition
• Gaussian stationary processes: Adaptive wavelet decompositions, discrete approximations, and their convergence
• Wavelet-based simulation of fractional Brownian motion revisited
• Wavelets with Short Support
• Ten Lectures on Wavelets
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Self-Similarity: Part II—Optimal Estimation of Fractal Processes
• Cardinal exponential splines: part I - theory and filtering algorithms
• Invariances, Laplacian-Like Wavelet Bases, and the Whitening of Fractal Processes