Introduction to Abstract Harmonic Analysis - Brossura

Loomis, Lynn H.

Brossura

ISBN 10: 0486481239 ISBN 13: 9780486481234

Casa editrice: Dover Pubns, 2011

Riassunto

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.

Su questo libro

Product Description:

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. 1953 edition.

Contenuti:

I. Topology II. The Banach Spaces III. Integration IV. Banach Algebras V. Some Special Banach Algebras VI. The Haar Integral VII. Locally Compact Abelian Groups VIII. Compact Groups and Almost Periodic Functions IX. Some Further Developments Bibliography Index

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2011
• ISBN 10: 0486481239
• ISBN 13: 9780486481234
• Rilegatura: Copertina flessibile
• Numero di pagine: 190