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 Optical Processes in Semiconductors by Lynn H. Loomis
Cover of the book The Last Day of a Condemned Man by Lynn H. Loomis
Cover of the book The 100 Greatest Advertisements 1852-1958 by Lynn H. Loomis
Cover of the book Barns, Sheds and Outbuildings by Lynn H. Loomis
Cover of the book A Century of Negro Migration by Lynn H. Loomis
Cover of the book Reliability Theory and Practice by Lynn H. Loomis
Cover of the book Ship Models by Lynn H. Loomis
Cover of the book The Axiom of Choice by Lynn H. Loomis
Cover of the book A Second Course in Complex Analysis by Lynn H. Loomis
Cover of the book Native American Dance Steps by Lynn H. Loomis
Cover of the book Notes on Nursing by Lynn H. Loomis
Cover of the book Man's Place in Nature by Lynn H. Loomis
Cover of the book Wardway Homes, Bungalows, and Cottages, 1925 by Lynn H. Loomis
Cover of the book Chemical Kinetics and Reaction Dynamics by Lynn H. Loomis
Cover of the book Exploring Historic Dutch New York 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