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 Conditioned Reflexes by Lynn H. Loomis
Cover of the book Incidents of Travel in Central America, Chiapas, and Yucatan, Volume I by Lynn H. Loomis
Cover of the book Egyptian Decorative Art by Lynn H. Loomis
Cover of the book The Great Pyramid of Giza by Lynn H. Loomis
Cover of the book 1300 Real and Fanciful Animals by Lynn H. Loomis
Cover of the book Sturgis' Illustrated Dictionary of Architecture and Building by Lynn H. Loomis
Cover of the book A Manual of Historic Ornament by Lynn H. Loomis
Cover of the book The Poems of Phillis Wheatley by Lynn H. Loomis
Cover of the book An Aztec Herbal by Lynn H. Loomis
Cover of the book Aeroelasticity by Lynn H. Loomis
Cover of the book 47 Easy-to-Do Classic Science Experiments by Lynn H. Loomis
Cover of the book Treasury of Japanese Designs and Motifs for Artists and Craftsmen by Lynn H. Loomis
Cover of the book Anna Karenina by Lynn H. Loomis
Cover of the book Obelists Fly High by Lynn H. Loomis
Cover of the book Irish Verse: An Anthology 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