A Course In Abstract Harmonic Analysis PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Course In Abstract Harmonic Analysis PDF full book. Access full book title A Course In Abstract Harmonic Analysis.

A Course in Abstract Harmonic Analysis

A Course in Abstract Harmonic Analysis
Author: Gerald B. Folland
Publisher: CRC Press
Total Pages: 317
Release: 2016-02-03
Genre: Mathematics
ISBN: 1498727158
GET BOOK

Download A Course in Abstract Harmonic Analysis Book in PDF, ePub and Kindle

A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant resul

Principles of Harmonic Analysis

Principles of Harmonic Analysis
Author: Anton Deitmar
Publisher: Springer
Total Pages: 330
Release: 2014-06-21
Genre: Mathematics
ISBN: 3319057928
GET BOOK

Download Principles of Harmonic Analysis Book in PDF, ePub and Kindle

This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.

A First Course in Harmonic Analysis

A First Course in Harmonic Analysis
Author: Anton Deitmar
Publisher: Springer Science & Business Media
Total Pages: 154
Release: 2013-04-17
Genre: Mathematics
ISBN: 147573834X
GET BOOK

Download A First Course in Harmonic Analysis Book in PDF, ePub and Kindle

This book introduces harmonic analysis at an undergraduate level. In doing so it covers Fourier analysis and paves the way for Poisson Summation Formula. Another central feature is that is makes the reader aware of the fact that both principal incarnations of Fourier theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The final goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example.

Introduction to Abstract Harmonic Analysis

Introduction to Abstract Harmonic Analysis
Author: Lynn H. Loomis
Publisher: Courier Corporation
Total Pages: 210
Release: 2013-05-09
Genre: Mathematics
ISBN: 0486282317
GET BOOK

Download Introduction to Abstract Harmonic Analysis Book in PDF, ePub and Kindle

Written by a prominent figure in the field of harmonic analysis, this classic monograph is geared toward advanced undergraduates and graduate students and focuses on methods related to Gelfand's theory of Banach algebra. 1953 edition.

Abstract Harmonic Analysis: Structure and analysis for compact groups, analysis on locally compact Abelian groups

Abstract Harmonic Analysis: Structure and analysis for compact groups, analysis on locally compact Abelian groups
Author: Edwin Hewitt
Publisher:
Total Pages: 794
Release: 1963
Genre: Mathematics
ISBN:
GET BOOK

Download Abstract Harmonic Analysis: Structure and analysis for compact groups, analysis on locally compact Abelian groups Book in PDF, ePub and Kindle

Vol. I. Structure of topological groups, intégration theory group représentations. Vol. II, Structure and analysis for compact groups, Analysis on locally compact abelian groups.

Elements of Abstract Harmonic Analysis

Elements of Abstract Harmonic Analysis
Author: George Bachman
Publisher: Elsevier
Total Pages: 269
Release: 2013-10-22
Genre: Mathematics
ISBN: 1483267563
GET BOOK

Download Elements of Abstract Harmonic Analysis Book in PDF, ePub and Kindle

Elements of Abstract Harmonic Analysis provides an introduction to the fundamental concepts and basic theorems of abstract harmonic analysis. In order to give a reasonably complete and self-contained introduction to the subject, most of the proofs have been presented in great detail thereby making the development understandable to a very wide audience. Exercises have been supplied at the end of each chapter. Some of these are meant to extend the theory slightly while others should serve to test the reader's understanding of the material presented. The first chapter and part of the second give a brief review of classical Fourier analysis and present concepts which will subsequently be generalized to a more abstract framework. The next five chapters present an introduction to commutative Banach algebras, general topological spaces, and topological groups. The remaining chapters contain some of the measure theoretic background, including the Haar integral, and an extension of the concepts of the first two chapters to Fourier analysis on locally compact topological abelian groups.

Abstract Harmonic Analysis

Abstract Harmonic Analysis
Author: Edwin Hewitt
Publisher:
Total Pages: 0
Release: 1963
Genre: Algebraic topology
ISBN:
GET BOOK

Download Abstract Harmonic Analysis Book in PDF, ePub and Kindle

The Bellman Function Technique in Harmonic Analysis

The Bellman Function Technique in Harmonic Analysis
Author: Vasily Vasyunin
Publisher: Cambridge University Press
Total Pages: 465
Release: 2020-08-06
Genre: Mathematics
ISBN: 1108486894
GET BOOK

Download The Bellman Function Technique in Harmonic Analysis Book in PDF, ePub and Kindle

A comprehensive reference on the Bellman function method and its applications to various topics in probability and harmonic analysis.

Harmonic Analysis and Applications

Harmonic Analysis and Applications
Author: John J. Benedetto
Publisher: CRC Press
Total Pages: 370
Release: 1996-07-29
Genre: Mathematics
ISBN: 9780849378799
GET BOOK

Download Harmonic Analysis and Applications Book in PDF, ePub and Kindle

Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.