On scaling functions of non-uniform multiresolution analysis in L2(ℝ)

DOI10.1142/S0219691319500553zbMath1442.42079OpenAlexW2960298171MaRDI QIDQ5221433

Hari Krishan Malhotra, Lalit Kumar Vashisht

Publication date: 25 March 2020

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219691319500553

zbMATH Keywords

scaling functionspectral pairnon-uniform multiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (6)

On vector-valued nonuniform multiresolution analysis ⋮ Discrete vector-valued nonuniform Gabor frames ⋮ -NONUNIFORM MULTIRESOLUTION ANALYSIS ⋮ Fractional multiresolution analysis and associated scaling functions in \(L^2(\mathbb{R})\) ⋮ Construction of \(P^{th}\)-stage nonuniform discrete wavelet frames ⋮ Multivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups

Cites Work

• Wavelets associated with nonuniform multiresolution analyses and one-dimensional spectral pairs
• Supports of Fourier transforms of scaling functions
• Nonuniform wavelets and wavelet sets related to one-dimensional spectral pairs
• Nonuniform multiresolution analyses and spectral pairs
• Framelets and wavelets. Algorithms, analysis, and applications
• Riesz bases and multiresolution analyses
• Framelets: MRA-based constructions of wavelet frames
• Measures, densities and diameters of frequency bands of scaling functions and wavelets
• Characterization of scaling functions in a multiresolution analysis
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
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