Joint spectral radius and Hölder regularity of wavelets

DOI10.1016/S0898-1221(00)00148-6zbMath0948.42019MaRDI QIDQ1570073

Mohsen Maesumi

Publication date: 19 November 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

regularitymultiresolution analysisgeneralized spectral radiusHölder exponentfiniteness conjecturewavelets of compact support

Mathematics Subject Classification ID

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

Related Items

Set of possible values of maximal Lyapunov exponents of discrete time-varying linear system, Optimal norms and the computation of joint spectral radius of matrices, A tree-based approach to joint spectral radius determination, On the asymptotic properties of a family of matrices

Cites Work

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• Recurrent iterated function systems
• Uniform refinement of curves
• Non-negative matrices and Markov chains. 2nd ed
• Sets of matrices all infinite products of which converge
• Bounded semigroups of matrices
• The finiteness conjecture for the generalized spectral radius of a set of matrices
• The generalized spectral-radius theorem: An analytic-geometric proof
• Computing the joint spectral radius
• An efficient lower bound for the generalized spectral radius of a set of matrices
• Necessary and sufficient conditions for constructing orthonormal wavelet bases
• Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
• The characterization of continuous, four-coefficient scaling functions and wavelets
• Ten Lectures on Wavelets
• Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
• Characterizations of Scaling Functions: Continuous Solutions