Annihilator, Completeness and Convergence of Wavelet System

DOI10.1017/S0027763000009454zbMath1137.42010OpenAlexW1666146160MaRDI QIDQ5448733

Kwok-Pun Ho

Publication date: 7 March 2008

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

Full work available at URL: https://projecteuclid.org/euclid.nmj/1197908744

zbMATH Keywords

waveletsframesannihilator and Schwartz distribution

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38) General harmonic expansions, frames (42C15)

Related Items

Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent, Fourier integrals and Sobolev embedding on rearrangement invariant quasi-Banach function spaces

Cites Work

• A discrete transform and decompositions of distribution spaces
• Local convergence for wavelet expansions
• Pointwise convergence of wavelet expansions
• Frames associated with expansive matrix dilations
• Remarks on Littlewood–Paley Analysis
• Pointwise convergence of wavelet expansions
• Wavelets, Vibrations and Scalings
• Pointwise convergence of a class of non-orthogonal wavelet expansions
• Wavelet methods for pointwise regularity and local oscillations of functions
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