Continuous two-scale equations and dyadic wavelets

DOI10.1007/BF02521107zbMath0877.42014MaRDI QIDQ1895907

Charles K. Chui, Xian Liang Shi

Publication date: 26 September 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

scaling functionCMRAcontinuous multiresolution analysisdilation periodicitydyadic waveletorthogonal and nonorthogonal decompositionstwo-scale equations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (8)

Refinement equations and distributional fixed points ⋮ Refinement equations and Feller operators ⋮ Spectral properties of continuous refinement operators ⋮ Probability distribution functions of the Grincevičjus series ⋮ The spectral radius of matrix continuous refinement operators ⋮ Matrix refinement type equations ⋮ Compactly supported distributional solutions of nonstationary nonhomogeneous refinement equations ⋮ On a Refinement Type Equation

Cites Work

• Bessel sequences and affine frames
• Continuous refinement equations and subdivision
• Compactly supported solutions of functional-differential equations and their applications
• Stationary subdivision
• Ten Lectures on Wavelets
• Inequalities of Littlewood–Paley Type for Frames and Wavelets
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