On the wavelet transformation of fractal objects.

DOI10.1007/BF01019149zbMath1084.42518OpenAlexW2017405438MaRDI QIDQ1963568

Matthias Holschneider

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01019149

zbMATH Keywords

analytic functionboundary behaviorfractalsJacobi theta functionoscillatory critical behaviorlocal scaling behavior

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems over complex numbers (37F99)

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Cites Work

• Mellin transforms associated with Julia sets and physical applications
• The dimension spectrum of some dynamical systems
• Fractal measures and their singularities: The characterization of strange sets
• On the Weierstrass-Mandelbrot fractal function
• Ergodic theory of chaos and strange attractors
• On multipliers preserving convergence of trigonometric series almost everywhere
• Lectures on Modular Forms. (AM-48)
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