scientific article; zbMATH DE number 7328594

zbMath1474.42123MaRDI QIDQ5856658

Satyapriya, Raj Kumar

Publication date: 29 March 2021

Full work available at URL: http://ajmaa.org/cgi-bin/paper.pl?string=v18n1/V18I1P5.tex

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zbMATH Keywords

refinable functionframe multiresolution analysiswavelet framesLCA groups\(\alpha\)-substantial

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) General properties and structure of LCA groups (22B05)

Related Items (3)

Explicit construction of wavelet frames on locally compact abelian groups ⋮ Frame multiresolution analysis on \({\mathbb{Q}}_p\) ⋮ Rationally sampled Gabor frames on the half real line

Cites Work

• Some equivalent multiresolution conditions on locally compact Abelian groups
• The theory of multiresolution analysis frames and applications to filter banks
• Generalized multi-resolution analyses and a construction procedure for all wavelet sets in \(\mathbb{R}^n\)
• Shift-invariant spaces on LCA groups
• A Course in Abstract Harmonic Analysis
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Zeros of the Zak transform on locally compact abelian groups
• An introduction to frames and Riesz bases
• Principles of harmonic analysis
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