Ebook Info
- Published: 2013
- Number of pages: 210 pages
- Format: PDF
- File Size: 9.12 MB
- Authors: Lynn H. Loomis
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.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.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐This is a classic text which is frequently cited by later works on harmonic analysis. I am glad it is available in paperback.
⭐Bei dem Preis kann man absolut nichts falsch machen. Wirklich ein sehr gutes Buch, das seinem Titel gerecht wird. Ergo: zu empfehlen!
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⭐抽象解析のことがコンパクトに描かれている。フーリエ解析や表現論にも触れている。
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Keywords
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