An Algebraic Theory of Wavelets. I. Operational Calculus and Complex Structure

DOI10.1137/0523012zbMath0757.42013OpenAlexW1988154868MaRDI QIDQ3990890

Gerald Kaiser

Publication date: 28 June 1992

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/803b582867ef670cdedcbd1a9657acd53ddf29f6

zbMATH Keywords

symmetrycomplex structurereconstructionmultiscale analysisalgebraic structurewavelet decompositionquadrature mirror filteringbasis-independent operational calculusfilter-bank theory

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integral transforms, operational calculus (44A99)

Related Items (3)

An MRA yields an orthonormal wavelet basis -- an operator theoretic proof ⋮ Wavelet transforms on two-dimensional images ⋮ Wavelet electrodynamics

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