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Author:   J.S. Byrnes ,  Kathryn A. Hargreaves ,  Karl Berry ,  Karl Berry
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   372
Dimensions:   Width: 16.00cm , Height: 3.60cm , Length: 24.00cm
Weight:   1.117kg
ISBN:  

9789401052399

ISBN 10:   9401052395
Pages:   699
Publication Date:   13 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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Table of Contents

I Wavelets and fractals.- Wavelets and analysis of partial differential equations.- Methods of solving dilation equations.- Characterization of singularities.- Complex analysis and frames in sampling theory.- Stationary frames and spectral estimation.- Density of fuzzy attractors: A step towards the solution of the inverse problem for fractals and other sets.- Multifractal measures.- Applications of Gabor and wavelet expansions to the Radon transform.- Normal numbers and dynamical systems.- Linear and non-linear decomposition of images using Gabor wavelets.- Multiresolution analyses, tiles, and scaling functions.- II Applications in engineering.- Innovations and entropy rate with applications in factorization, spectral estimation, and prediction.- Generation of accurate broadband information from narrowband data using the Cauchy method.- Infinite divisibility and the identification of singular waveforms.- Certain results on spatiotemporal random fields and their applications in environmental research.- Sharp results on irregular sampling of bandlimited functions.- Some recent results on the sampling theorem.- Spectral analysis of random fields with random sampling.- Application of probabilistic and self-organising neural networks in pattern recognition: a tutorial paper.- Quantum holography and neurocomputer architectures.- Random surface geometries with applications to image processing.- III Applications in mathematics & computer science.- Some continuations of the work of Paley and Zygmund on random trigonometric series.- Empirical characteristic functional analysis and inference in sequence spaces.- Is probability a part of mathematical truth?.- Extension of radial positive-definite distributions in ?n and maximum entropy.- The phase behaviour of ultraflatunimodular polynomials.- Fixed points in mixed spectrum analysis.- Monte Carlo periodograms.- A class of equivalent measures.- IV Stochastic calculus.- Second order Hamilton-Jacobi equations in infinite dimensions and stochastic optimal control problems.- Nuclear space-valued stochastic differential equations with applications.- A basic view of stochastic integration.- On the entropy of certain stochastic measures.- The geometry of attractors for a class of iterated function systems.- Problems.

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