scientific article; zbMATH DE number 7679058

MaRDI QIDQ5888987

Hari Krishan Malhotra

Publication date: 26 April 2023

Full work available at URL: http://bharataganitaparisad.com/wp-content/uploads/2019/08/691_ch1.pdf

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zbMATH Keywords

unitary extension principleHilbert framenonuniform wavelet system

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) General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (1)

Construction of \(P^{th}\)-stage nonuniform discrete wavelet frames

Cites Work

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• Wavelets associated with nonuniform multiresolution analyses and one-dimensional spectral pairs
• Nonuniform wavelets and wavelet sets related to one-dimensional spectral pairs
• Dilations and completions for Gabor systems
• Expansion of frames to tight frames
• Nonuniform multiresolution analyses and spectral pairs
• Extensions of Bessel sequences to dual pairs of frames
• Nonuniform wavelet frames in L²(ℝ)
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Extension of Weyl-Heisenberg wave packet Bessel sequences to dual frames in L^2(ℝ)
• An introduction to frames and Riesz bases

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