Mathematics
Harmonic Analysis


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Introduction To Harmonic Analysis 3RD Edition
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Introduction To Harmonic Analysis 3RD Edition
by Yitzhak Katznelson

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Awarded the American Mathematical Society Steele Prize for Mathematical Exposition, this Introduction, first published in 1968, has firmly established itself as a classic text. Yitzhak Katznelson demonstrates the central ideas of harmonic analysis and...
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Cambridge Studies in Advanced Mathematics #108: Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains
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Cambridge Studies in Advanced Mathematics #108: Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains
by Tullio Ceccherini-silberstein

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Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space, this book develops the necessary tools for the asymptotic analysis of these processes. Its topics range from the basic theory needed for...
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Harmonic Analysis At Mount Holyoke
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Harmonic Analysis At Mount Holyoke
by Ams-ims-siam Joint Summer Research Conference On Harmonic Analysis

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This work contains the proceedings of a summer 2001 conference on harmonic analysis and related areas, of interest to graduate students and research mathematicians. Some specific topics include potential theory in Carnot groups, quasi-affine systems...
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Panorama of Harmonic Analysis
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Panorama of Harmonic Analysis
by Steven Krantz

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A clear and concise overview of the subject of commutative harmonic analysis....
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Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications
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Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications
by David Gurarie

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This introductory text examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory. Topics include commutative harmonic analysis...
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Wavelets Through a Looking Glass: The World of the Spectrum
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Wavelets Through a Looking Glass: The World of the Spectrum
by Ola Bratteli

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This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly...
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An Introduction to Wavelet Analysis
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An Introduction to Wavelet Analysis
by David F. Walnut

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"D. Walnut's lovely book aims at the upper undergraduate level, and so it includes relatively more preliminary material . . . than is typically the case in a graduate text. It goes from Haar systems to multiresolutions, and then the discrete wavelet...
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Lecture Notes in Pure and Applied Mathematics #212: Wavelet Analysis and Multiresolution Methods
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Lecture Notes in Pure and Applied Mathematics #212: Wavelet Analysis and Multiresolution Methods
by Tian Xiao He

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This volume contains papers selected from the Wavelet Analysis and Multiresolution Methods Session of the AMS meeting held at the University of Illinois at Urbana-Champaign. The contributions cover: construction, analysis, computation and application of...
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Harmonic Analysis and the Theory of Probability (Dover Books on Mathematics)
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Harmonic Analysis and the Theory of Probability (Dover Books on Mathematics)
by Salomon Bochner

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This classic text emphasizes the stochastic processes and the interchange of stimuli between probability and analysis. Non-probabilistic topics include Fourier series and integrals in many variables; the Bochner integral; and the transforms of...
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Fundamental Papers in Wavelet Theory
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Fundamental Papers in Wavelet Theory
by Christopher Heil

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The history of wavelets is no longer an orphan left in cold storage. is a hugely successful endeavor that will take are of future progress and study in the area....
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Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics)
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Classical Potential Theory and Its Probabilistic Counterpart (Classics in Mathematics)
by Joseph L. Doob

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From the reviews: "This huge book written in several years by one of the few mathematicians able to do it, appears as a precise and impressive study (not very easy to read) of this bothsided question that replaces, in a coherent way, without being...
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An Introduction To Random Vibrations, Spectral & Wavelet Analysis
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An Introduction To Random Vibrations, Spectral & Wavelet Analysis
by D. E. Newland

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One of the first engineering books to cover wavelet analysis, this classic text describes and illustrates basic theory, with a detailed explanation of discrete wavelet transforms. It examines joint probability distributions, ensemble averages, and...
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Harmonic Analysis, Signal Processing, and Complexity
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Harmonic Analysis, Signal Processing, and Complexity
by Irene (edt) Sabadini

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Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the...
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Harmonic Function Theory 2ND Edition
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Harmonic Function Theory 2ND Edition
by Sheldon Jay Axler

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This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate...
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Wiley Series in Probability and Statistics #355: Periodically Correlated Random Sequences: Spectral Theory and Practice
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Wiley Series in Probability and Statistics #355: Periodically Correlated Random Sequences: Spectral Theory and Practice
by Harry L Hurd

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This much-needed reference and textbook surveys spectral theory and practice and introduces readers to periodically correlated random sequences. Comprehensively combining theory, application, and computing, this is a major exploration of a neglected but...
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P Harmonic Equation & Recent Advances In
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P Harmonic Equation & Recent Advances In
by Pie Poggi Corradini

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Participants in the October 2003 seminar present their research on harmonic analysis and partial differential equations, especially p-harmonic equations, a family of nonlinear partial equations that generalize the usual Laplace equation. Topics of the...
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Sampling, Wavelets, and Tomography (Applied and Numerical Harmonic Analysis)
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Sampling, Wavelets, and Tomography (Applied and Numerical Harmonic Analysis)
by John J Benedetto

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Sampling, wavelets, and tomography are three active areas of contemporary mathematics sharing common roots that lie at the heart of harmonic and Fourier analysis. The advent of new techniques in mathematical analysis has strengthened their...
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An Introduction to the Uncertainty Principle
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An Introduction to the Uncertainty Principle
by Sundaram Thangavelu

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Motivating this interesting monograph is the development of a number of analogs of Hardy's theorem in settings arising from noncommutative harmonic analysis. This is the central theme of this work. Specifically, it is devoted to connections among various...
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Wavelet Methods for Time Series Analysis
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Wavelet Methods for Time Series Analysis
by Donald B Percival

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This book contains detailed descriptions of the theory and algorithms needed to understand and implement discrete wavelet transforms....
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Discrete Spectral Synthesis and Its Applications (Springer Monographs in Mathematics)
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Discrete Spectral Synthesis and Its Applications (Springer Monographs in Mathematics)
by Laszlo Szekelyhidi

Synopsis
In order to study discrete Abelian groups with wide range applications, the use of classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups is required. This book covers...
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