Numerical Experiments in Fourier Asymptotics of Cantor Measures and Wavelets

DOI10.1080/10586458.1992.10504561zbMath0788.65129OpenAlexW2094705236MaRDI QIDQ3142986

David Samuel Rosenblum, Robert S. Strichartz, Prem Janardhan

Publication date: 20 December 1993

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1048610116

zbMATH Keywords

waveletsasymptotic behaviorFourier transformsnumerical experimentsfractalsCantor measuresmultiperiodic function

Mathematics Subject Classification ID

Related Items (13)

On transfer operators on the circle with trigonometric weights ⋮ Toward discrete wavelets with irrational scaling factor ⋮ From Strichartz Estimates to Differential Equations on Fractals ⋮ Direct and inverse computation of Jacobi matrices of infinite iterated function systems ⋮ Dynamical systems and numerical analysis: The study of measures generated by uncountable I.F.S. ⋮ Densities of Self-Similar Measures on the Line ⋮ Orthogonal polynomials of equilibrium measures supported on Cantor sets ⋮ Limiting behavior of infinite products scaled by Pisot numbers ⋮ Asymptotic behaviour of multiperiodic functions scaled by Pisot numbers. ⋮ Coin-tossing measures and their Fourier transforms ⋮ Self-Similar Measures and Their Fourier Transforms. II ⋮ Asymptotic behavior of multiperiodic functions \(G(x)=\prod_{n=1}^\infty g(x/2^n)\) ⋮ Sampling Theory for Functions with Fractal Spectrum

Cites Work

• Mean quadratic variations and Fourier asymptotics of self-similar measures
• Fractal measures and mean \(p\)-variations
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Products of Random Matrices
• On the Smoothness Properties of a Family of Bernoulli Convolutions
• On Singular Distributions
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