A Course in Abstract Harmonic Analysis: 29 (Textbooks in Mathematics) - Image 1

Price loading...

CRC Press A Course in Abstract Harmonic Analysis: 29 (Textbooks in Mathematics)

Name: A Course in Abstract Harmonic Analysis: 29 (Textbooks in Mathematics)
Brand: CRC Press

Functional Analysis

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

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 results and techniques that are of interest in their own right. This book develops the abstract theory along with a well-chosen selection of concrete examples that exemplify the results and show the breadth of their applicability. After a preliminary chapter containing the necessary background material on Banach algebras and spectral theory, the text sets out the general theory of locally compact groups and their unitary representations, followed by a development of the more specific theory of analysis on Abelian groups and compact groups. There is an extensive chapter on the theory of induced representations and its applications, and the book concludes with a more informal exposition on the theory of representations of non-Abelian, non-compact groups. Featuring extensive updates and new examples, the Second Edition: Adds a short section on von Neumann algebras Includes Mark Kac’s simple proof of a restricted form of Wiener’s theorem Explains the relation between SU(2) and SO(3) in terms of quaternions, an elegant method that brings SO(4) into the picture with little effort Discusses representations of the discrete Heisenberg group and its central quotients, illustrating the Mackey machine for regular semi-direct products and the pathological phenomena for nonregular ones A Course in Abstract Harmonic Analysis, Second Edition serves as an entrée to advanced mathematics, presenting the essentials of harmonic analysis on locally compact groups in a concise and accessible form.

Product Specifications

Brand: CRC Press
Format: hardcover
ASIN: 1498727131
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 25 September 2015
Listed Since: 04 May 2015

Barcode

No barcode data available

CRC Press A Course in Abstract Harmonic Analysis: 29 (Textbooks in Mathematics)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

A Course in Abstract Harmonic Analysis (Textbooks in Mathematics)

Abstract Harmonic Analysis: Volume I: Structure of Topological Groups Integration Theory Group Representations: 115 (Grundlehren der mathematischen Wissenschaften, 115)

Harmonic Analysis on Commutative Spaces (Mathematical Surveys & Monographs)

A First Course in Harmonic Analysis (Universitext)

Abstract Harmonic Analysis: Volume II: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups: 152 (Grundlehren der mathematischen Wissenschaften, 152)

Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry (Cornerstones)

Analysis and Quantum Groups

Introduction to Abstract Algebra: 31 (Textbooks in Mathematics)

Abstract Harmonic Analysis: Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups: 152 (Grundlehren der mathematischen Wissenschaften, 152)

Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Springer Monographs in Mathematics)

Harmonic Analysis on Semi-Simple Lie Groups II: 189 (Grundlehren der mathematischen Wissenschaften, 189)

A Course in Abstract Analysis (Graduate Studies in Mathematics)

Lie Algebraic Methods in Integrable Systems (Chapman & Hall/CRC Research Notes in Mathematics Series)

Non-Commutative Analysis

A Course On Abstract Algebra (Second Edition)

Laguerre Calculus and Its Applications on the Heisenberg Group (AMS/IP Studies in Advanced Mathematics)

Amenable Banach Algebras: A Panorama (Springer Monographs in Mathematics)

An Introduction to Abstract Analysis: 3 (Chapman Hall/CRC Mathematics Series)

Abstract Algebra: Introduction to Groups, Rings and Fields with Applications, 2nd Edition

Harmonic Analysis on Reductive, Sporadic Groups (Contemporary Mathematics)

Measure and Integral: An Introduction to Real Analysis, Second Edition (Chapman & Hall/CRC Pure and Applied Mathematics)

Statistical Analysis of Time Series P: 50 (Wiley Classics Library)

Abstract Algebra: An Introduction to Groups, Rings and Fields: INTRO TO GROUP, RING..

Engineering Applications of Noncommutative Harmonic Analysis: With Emphasis on Rotation and Motion Groups (Routledge Revivals)