This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae
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Key Phrases - Statistically Improbable Phrases (SIPs):
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compact infinite group, left approximate unit, continuous irreducible unitary representations, continuous unitary irreducible representations, arbitrary compact group, miscellaneous theorems, les ensembles parfaits, nonvoid open subset, spectral set, spectral synthesis, multiplicative linear functional, compact abelian group, nonvoid interior, logically isomorphic, dual object, translation invariant subspaces, ternary set, abstract harmonic analysis, restriction algebra, closed left ideal, nonvoid subset, whose zero set, continuous unitary representation, reversed inclusion, compact open subgroup Key Phrases - Capitalized Phrases (CAPs): (learn more)
Banach A-module, Notes Theorem New!
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compact infinite group, left approximate unit, continuous irreducible unitary representations, continuous unitary irreducible representations, arbitrary compact group, miscellaneous theorems, les ensembles parfaits, nonvoid open subset, spectral set, spectral synthesis, multiplicative linear functional, compact abelian group, nonvoid interior, logically isomorphic, dual object, translation invariant subspaces, ternary set, abstract harmonic analysis, restriction algebra, closed left ideal, nonvoid subset, whose zero set, continuous unitary representation, reversed inclusion, compact open subgroup Key Phrases - Capitalized Phrases (CAPs): (learn more)
Banach A-module, Notes Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 70
books:
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100
books
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- Complex Manifolds and Deformation of Complex Structures (Classics in Mathematics) by Kunihiko Kodaira in Back Matter
- Cohomology of Finite Groups (Grundlehren der mathematischen Wissenschaften) by Alejandro Adem in Back Matter
- Entropy, Large Deviations, and Statistical Mechanics (Classics in Mathematics) by Richard Ellis in Back Matter
- Sheaves on Manifolds: With a Short History "Les debuts de la theorie des faisceaux" by Christian Houzel (Grundlehren der mathematischen Wissenschaften) by Masaki Kashiwara in Back Matter
- Ordinary Differential Equations (Universitext) by Vladimir I. Arnold in Back Matter
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- Volterra Integral and Functional Equations (Encyclopedia of Mathematics and its Applications) by G. Gripenberg on page 109, page 138, and Back Matter
- General Topology and Applications (Lecture Notes in Pure and Applied Mathematics) by Andima on page 32, page 177, and page 378
- Asymptotics, Nonparametrics, and Time Series (Statistics: A Series of Textbooks and Monographs) by Subir Ghosh on page 32, and page 611
- Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook by Svetlana N. Yanushkevich in Back Matter (1), and Back Matter (2)
- Interaction Between Functional Analysis, Harmonic Analysis, and Probability (Lecture Notes in Pure and Applied Mathematics) by Nigel Kalton on page 66, and page 385
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