Piecewise-smooth refinable functions

DOI10.1090/S1061-0022-05-00881-2zbMath1085.42020OpenAlexW1557238003MaRDI QIDQ3376459

Vladimir Yu. Protasov

Publication date: 23 March 2006

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-05-00881-2

zbMATH Keywords

regularityconvergencesplinessubdivision algorithmsasymptotics of Euler's partition function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Elementary theory of partitions (11P81) Spline approximation (41A15)

Related Items (2)

The Euler binary partition function and subdivision schemes ⋮ Newman cyclotomic polynomials, refinable splines and the Euler binary partition function

Cites Work

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• Spectral properties of two-slanted matrices
• Characterization of compactly supported refinable splines
• Subdivision schemes in \(L_ p\) spaces
• Analysis of uniform binary subdivision schemes for curve design
• The Stability of Subdivision Operator at Its Fixed Point
• Stationary subdivision
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• Ten Lectures on Wavelets
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Wavelet Analysis of Refinement Equations
• A Complete Solution Characterizing Smooth Refinable Functions
• Asymptotic behaviour of the partition function
• On a Special Functional Equation

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