Completeness of orthonormal wavelet systems for arbitrary real dilations

DOI10.1006/acha.2001.0365zbMath1014.42024OpenAlexW2002559358MaRDI QIDQ5956057

Richard Snyder Laugesen

Publication date: 5 July 2003

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/edea19c17687ee609713850d8d64b32361b95a02

zbMATH Keywords

orthonormal waveletsCalderón conditionoversamplingcharacterization theoremscontinuous wavelets

Mathematics Subject Classification ID

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

Related Items

System bandwidth and the existence of generalized shift-invariant frames, Two Banach spaces of atoms for stable wavelet frame expansions, Frequency-scale frames and the solution of the Mexican hat problem, A unified characterization of reproducing systems generated by a finite family. II, Affine and quasi-affine frames for rational dilations, Stability of wavelet frames with matrix dilations, On the local integrability condition for generalised translation-invariant systems, On affine frames with transcendental dilations

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