An MRA yields an orthonormal wavelet basis -- an operator theoretic proof

DOI10.1007/BF02662182zbMath0877.42018OpenAlexW1521513347MaRDI QIDQ1919346

Shijie Lu, Xingde Dai

Publication date: 27 November 1997

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02662182

zbMATH Keywords

scaling functionorthonormal wavelet basismultiresolution approximationconjugate linear operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Miscellaneous applications of operator theory (47N99)

Cites Work

• A theory for multiresolution signal decomposition: the wavelet representation
• An Algebraic Theory of Wavelets. I. Operational Calculus and Complex Structure
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)

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