Introduction to Abstract Harmonic Analysis

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Introduction to Abstract Harmonic Analysis by Lynn H. Loomis, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Lynn H. Loomis ISBN: 9780486282312
Publisher: Dover Publications Publication: May 9, 2013
Imprint: Dover Publications Language: English
Author: Lynn H. Loomis
ISBN: 9780486282312
Publisher: Dover Publications
Publication: May 9, 2013
Imprint: Dover Publications
Language: English

This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology.
The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology.
The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.

More books from Dover Publications

Cover of the book Old Brooklyn in Early Photographs, 1865-1929 by Lynn H. Loomis
Cover of the book Advanced Mathematics for Engineers and Scientists by Lynn H. Loomis
Cover of the book Favorite Tales from the Arabian Nights' Entertainments by Lynn H. Loomis
Cover of the book The Kabbalah Unveiled by Lynn H. Loomis
Cover of the book Introduction to the Foundations of Mathematics by Lynn H. Loomis
Cover of the book Walden; Or, Life in the Woods by Lynn H. Loomis
Cover of the book Spheroidal Wave Functions by Lynn H. Loomis
Cover of the book Philosophy and Civilization in the Middle Ages by Lynn H. Loomis
Cover of the book Illustrating Nature: How to Paint and Draw Plants and Animals by Lynn H. Loomis
Cover of the book Ocean Wave Energy Conversion by Lynn H. Loomis
Cover of the book Concepts of Force by Lynn H. Loomis
Cover of the book The King of Pirates by Lynn H. Loomis
Cover of the book My Art, My Life by Lynn H. Loomis
Cover of the book The Underground Railroad by Lynn H. Loomis
Cover of the book The Soul of Wit by Lynn H. Loomis
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy