Nonseparable Radial Frame Multiresolution Analysis in Multidimensions

DOI10.1081/NFA-120026385zbMath1047.42030OpenAlexW2035969597MaRDI QIDQ4439625

Grigoriy Gogoshin, Donald J. Kouri, Ioannis A. Kakadiaris, Manos Papadakis, David K. Hoffman

Publication date: 14 December 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120026385

zbMATH Keywords

framesradial functionsShannon scaling functionnonseparable multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Interpolation in approximation theory (41A05) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Approximation by other special function classes (41A30) Sampling theory in information and communication theory (94A20)

Related Items (3)

Wavelets on irregular grids with arbitrary dilation matrices and frame atoms for \(L^2(\mathbb R{^d})\) ⋮ The geometry and the analytic properties of isotropic multiresolution analysis ⋮ The infimum cosine angle between two finitely generated shift-invariant spaces and its applica\-tions

Cites Work

• The curvelet transform for image denoising
• Arbitrarily Smooth Orthogonal Nonseparable Wavelets in $\R^2$
• Ridgelets: a key to higher-dimensional intermittency?
• Portraits of Frames

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