Table of contents for Wavelets, fractals, and Fourier transforms / edited by M. Farge, J.C.R. Hunt, and J.C. Vassilicos.


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Preface


Section 1


1. Wavelets, Fractals, and Fourier Transforms: Detection and Analysis of Structure, J.C.R. Hunt, N.K.-R. Kevlahan, J.C. Vassilicos and M. Farge


2. Wavelets, Fractals and Order-two Densities, K.J. Falconer


3. Orthonormal and Continuous Wavelet Transform: Algorithms and Applications to the Study of Pointwise Properties of Functions, S. Jaffard


4. Iterated Function Systems and Their Applications, J. Stark and P. Bressloff


5. Biorthogonal Bases of Symmetric Compactly Supported Wavelets, C. Herley and M. Vetterli


6. Fractional Brownian Motion and Wavelets, P. Flandrin


7. The Wavelet Gibbs Phenomenon, H.O. Rasmussen


8. Multiscale Segmentation of Well Logs, P.L. Vermeer and J.A.H. Alkemade


Section 2


9. Scale-invariance and Self-similar 'Wavelet' Transforms: An Analysis of Natural Scenes and Mammalian Visual Systems, D.J. Field


10. Wavelets and Astronomical Image Analysis, A. Bijaoui and A. Fresnel


11. Universe Heterogeneities from a Wavelet Analysis, A. Bijaoui, E. Slezak and G. Mars


12. The Wavelet Transform Applied to Flow Around Antarctica, B. Sinha and K.J. Richards


13. Quantification of Scale Cascades in the Stratosphere Using Wavelet Transforms, P.H. Haynes and W.A. Norton


Section 3


14. Multiple-scale Correlation Detection, Wavelet Transforms and Multifractal Turbulence, J.G. Jones, P.G. Earwicker and G.W. Foster


15. Wavelet Analysis of Turbulence: The Mixed Energy Cascade, C. Meneveau


16. Hierarchical Models of Turbulence, P. Frick and V. Zimin


17. Characterisation of ATM Traffic in the Frequency Domain, M. Luoni


18. The Self-similarity of D-dimensional Potential Turbulence, S.N. Gurbatov and A.I. Saichev


19. Solution of Burgers' Equation by Fourier Transform Methods, J. Caldwell


20. Spiral Structures in Turbulent Flow, H.K. Moffatt


21. Fractals in Turbulence, J.C. Vassilicos


22. The Physical Models and Mathematical Description of l/f Noise, A. Malakhov and A. Yakimov


23. Fractal Models of Density Interfaces, J.M. Redondo


24. The Fractal Dimension of Oil-water Interfaces in Channel Flows, G. Saether, K. Bendiksen, J. Muller and E. Froland


25. Fractal Aggregates in the Atmosphere, J.M. Redondo, R.M. Gonzalez and J.I. Cano


26. Morphology of Disordered Materials Studied by Multifractal Analysis, J. Muller





Library of Congress subject headings for this publication:
Wavelets (Mathematics) -- Congresses.
Fractals -- Congresses.
Fourier transformations -- Congresses.