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This volume contains the proceedings of the International Conference on Harmonic Analysis and Related Topics held at Macquarie University, Sydney, from January 14-18, 2002. The conference celebrated the many significant achievements and contributions to mathematics of Professor Alan G.

Harmonic analysis.

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This book captures the essence of the current state of research in wavelet analysis and its applications, and identifies the changes and opportunities - both current and future in the field. Distinguished researchers such as Prof John Daugman from Cambridge University and Prof Victor Wickerhauser from Washington University present their research papers.

Wavelets (Mathematics) --- Harmonic analysis

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Differential equations, Partial --- Harmonic analysis --- Homogenization (Differential equations) --- Lie groups --- Asymptotic theory

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Harmonic analysis. Fourier analysis --- Theory of distributions (Functional analysis) --- Fourier analysis. --- Distributions, Théorie des (Analyse fonctionnelle) --- Analyse de Fourier --- Distributions, Théorie des (Analyse fonctionnelle) --- Fourier Analysis

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Increasingly environmental scientists, palaeoceanographers and geologists are collecting quantitative records of environmental changes (time-series) from sediments, ice cores, cave calcite, corals and trees. This book explains how to analyse these records, using straightforward explanations and diagrams rather than formal mathematical derivations. All the main cyclostratigraphic methods are covered including spectral analysis, cross-spectral analysis, filtering, complex demodulation, wavelet and singular spectrum analysis. Practical problems of time-series analysis, including those of distortions of environmental signals during stratigraphic encoding, are considered in detail. Recent research into various types of tidal and climatic cycles is summarised. The book ends with an extensive reference section, and an appendix listing sources of computer algorithms. This book provides the ideal reference for all those using time-series analysis to study the nature and history of climatic and tidal cycles. It is suitable for senior undergraduate and graduate courses in environmental science, palaeoceanography and geology.

Cyclostratigraphy --- Time-series analysis. --- Analysis of time series --- Autocorrelation (Statistics) --- Harmonic analysis --- Mathematical statistics --- Probabilities --- Global cyclostratigraphy --- Geology, Stratigraphic --- Statistical methods.