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Theory of Group Representations and Fourier Analysis

A. Figa Talamanca: Random Fourier series on compact groups.- S. Helgason: Representations of semisimple Lie groups.- H. Jacquet;

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Cambridge Tracts in Mathematics

developed abstract theory of Fourier transforms on a locally compact group. (This latter subject has important applications to the general treatment;

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A Course in Abstract Harmonic Analysis

assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal;

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Harmonic Analysis in Phase Space. (AM-122), Volume 122

differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough;

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Fourier Analysis on Finite Groups and Applications

This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. Aimed at students;

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Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible;

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Time-Frequency Analysis of Operators

This authoritative text studies pseudodifferential and Fourier integral operators in the framework of time-frequency analysis, providing an;

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Fourier Analysis on Finite Abelian Groups

. The only prerequisites necessary are group theory, linear algebra, and complex analysis.;

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Fourier Analysis on Groups

overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent;

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Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

of spectral methods. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis;

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Principles of Fourier Analysis

of Fourier Analysis furnishes all this and more. It provides a comprehensive overview of the mathematical theory of Fourier analysis, including the;

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Principles of Fourier Analysis

of Fourier Analysis furnishes all this and more. It provides a comprehensive overview of the mathematical theory of Fourier analysis, including the;

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First Course In Fourier Analysis

This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and;

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Fourier Analysis

groups, numerical aspects of Fourier analysis and their applications, wavelets and more.;

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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series

This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis. The classical;

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Fourier Analysis

groups, numerical aspects of Fourier analysis and their applications, wavelets and more.;

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Handbook of Fourier Analysis & Its Applications

practical, applications-based professional handbook comprehensively covers the theory and applications of Fourier Analysis, spanning topics from;

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Discrete Harmonic Analysis

Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory;

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Series of Bessel and Kummer-Type Functions

This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schloemilch, Dini and Fourier series of Bessel;

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Harmonic Analysis (PMS-43), Volume 43

: singular integral and pseudo-differential operators, the theory of Hardy spaces, Lsup estimates involving oscillatory integrals and Fourier;

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Noncommutative Distributions

theory of unitary representations, topological groups and elementary stochastic analysis, Noncommutative Distributions: examines a theory;

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Numerical Fourier Analysis

This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function;

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Number Theory Fourier Analysis & Geometr

experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric;

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Symplectic Geometry and Fourier Analysis

. Subsequent chapters address Fourier analysis, the metaplectic representation, and quantization. A final chapter on the Kirillov theory applies the;

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Representations of Solvable Lie Groups

The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction;

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Fourier Analysis

A reader-friendly, systematic introduction to Fourier analysis Rich in both theory and application, Fourier Analysis presents a unique and;

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An Introduction to Harmonic Analysis

ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these;

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