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" Fourier and Fourier-Stieltjes algebras on locally compact groups / "
Eberhard Kaniuth, Anthony To-Ming Lau.
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BL
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| Record Number
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846971
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| Main Entry
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Kaniuth, Eberhard
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| Title & Author
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Fourier and Fourier-Stieltjes algebras on locally compact groups /\ Eberhard Kaniuth, Anthony To-Ming Lau.
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| Publication Statement
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Providence, Rhode Island :: American Mathematical Society,, [2018]
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, ©2018
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| Series Statement
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Mathematical surveys and monographs ;; volume 231
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xi, 306 pages ;; 26 cm
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| ISBN
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0821853651
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: 9780821853658
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Includes bibliographical references (pages 291-302) and index.
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| Contents
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Preliminaries -- Basic theory of Fourier and Fourier-Stieltjes algebras -- Miscellaneous further topics -- Amenability properties of A(G) and B(G) -- Multiplier algebras of Fourier algebras -- Spectral synthesis and ideal theory -- Extension and separation properties of positive definite functions.
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| Abstract
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The theory of the Fourier algebra lies at the crossroads of several areas of analysis. Its roots are in locally compact groups and group representations, but it requires a considerable amount of functional analysis, mainly Banach algebras. In recent years it has made a major connection to the subject of operator spaces, to the enrichment of both. In this book two leading experts provide a road map to roughly 50 years of research detailing the role that the Fourier and Fourier-Stieltjes algebras have played in not only helping to better understand the nature of locally compact groups, but also in building bridges between abstract harmonic analysis, Banach algebras, and operator algebras. All of the important topics have been included, which makes this book a comprehensive survey of the field as it currently exists.
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Banach algebras.
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Fourier analysis.
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Group algebras.
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Locally compact groups.
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Stieltjes transform.
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Topological groups.
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Banach algebras.
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Fourier analysis.
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Functional analysis-- Research exposition (monographs, survey articles)
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Group algebras.
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Locally compact groups.
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Stieltjes transform.
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Topological groups, Lie groups-- Research exposition (monographs, survey articles)
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Topological groups.
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| Dewey Classification
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515/.2433
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| LC Classification
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QA387.K354 2018
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| NLM classification
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43-0243A1043A2043A3043A2546-0222-02msc
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| Added Entry
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Lau, Anthony To-Ming
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