Introduction to Abstract Harmonic Analysis
(eBook)

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Published
Dover Publications, 2013.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486282312

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APA Citation, 7th Edition (style guide)

Lynn H. Loomis., & Lynn H. Loomis|AUTHOR. (2013). Introduction to Abstract Harmonic Analysis . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

Lynn H. Loomis and Lynn H. Loomis|AUTHOR. 2013. Introduction to Abstract Harmonic Analysis. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

Lynn H. Loomis and Lynn H. Loomis|AUTHOR. Introduction to Abstract Harmonic Analysis Dover Publications, 2013.

MLA Citation, 9th Edition (style guide)

Lynn H. Loomis, and Lynn H. Loomis|AUTHOR. Introduction to Abstract Harmonic Analysis Dover Publications, 2013.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work ID26c916cd-fff1-6aa4-edac-f8dd93608de8-eng
Full titleintroduction to abstract harmonic analysis
Authorloomis lynn h
Grouping Categorybook
Last Update2022-10-18 21:40:45PM
Last Indexed2024-04-17 23:51:40PM

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First LoadedSep 20, 2022
Last UsedFeb 1, 2024

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    [synopsis] => 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.
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