On the convergence of orthorecursive expansions in nonorthogonal wavelets

DOI10.1134/S0001434612110077zbMath1279.42043MaRDI QIDQ1946426

A. Yu. Kudryavtsev

Publication date: 15 April 2013

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

linear operatorsorthorecursive expansionnonorthogonal waveletsunconditional recursive expansion family

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Other transformations of harmonic type (42C20)

Related Items (7)

Series with integer coefficients by systems of contractions and shifts of one function ⋮ Orthorecursive expansions and their properties ⋮ Asymptotic properties of coefficients of orthorecursive expansions over indicators of dyadic intervals ⋮ Affine System of Walsh Type. Completeness and Minimality ⋮ Integer expansion in systems of translates and dilates of a single function ⋮ Convergence Almost Everywhere of Orthorecursive Expansions in Functional Systems ⋮ Fourier-type series with integer coefficients in systems of contractions and shifts of a single function in spaces \(L_p\), \(p \geq 1\)

Cites Work

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• On orthorecursive expansions in terms of a chain of systems
• Properties of orthorecursive expansions over nonorthogonal systems
• Representation in \(L_ p\) by series of translates and dilates of one function
• Some remarks on greedy algorithms
• Generalized approximate weak greedy algorithms
• Ten Lectures on Wavelets
• On orthorecursive expansions with errors in the calculation of coefficients

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