Fourier And Fourier Stieltjes Algebras On Locally Compact Groups PDF Download
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Author | : Eberhard Kaniuth |
Publisher | : American Mathematical Soc. |
Total Pages | : 306 |
Release | : 2018-07-05 |
Genre | : Fourier analysis |
ISBN | : 0821853651 |
Download Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups Book in PDF, ePub and Kindle
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. Since the book is, in part, aimed at graduate students, the authors offer complete and readable proofs of all results. The book will be well received by the community in abstract harmonic analysis and will be particularly useful for doctoral and postdoctoral mathematicians conducting research in this important and vibrant area.
Author | : Walter Rudin |
Publisher | : Courier Dover Publications |
Total Pages | : 305 |
Release | : 2017-04-19 |
Genre | : Mathematics |
ISBN | : 0486813657 |
Download Fourier Analysis on Groups Book in PDF, ePub and Kindle
Self-contained treatment by a master mathematical expositor ranges from introductory chapters on basic theorems of Fourier analysis and structure of locally compact Abelian groups to extensive appendixes on topology, topological groups, more. 1962 edition.
Author | : Michel Enock |
Publisher | : Springer Science & Business Media |
Total Pages | : 266 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662028131 |
Download Kac Algebras and Duality of Locally Compact Groups Book in PDF, ePub and Kindle
This book deals with the theory of Kac algebras and their dual ity, elaborated independently by M. Enock and J . -M. Schwartz, and by G. !. Kac and L. !. Vajnermann in the seventies. The sub ject has now reached a state of maturity which fully justifies the publication of this book. Also, in recent times, the topic of "quantum groups" has become very fashionable and attracted the attention of more and more mathematicians and theoret ical physicists. One is still missing a good characterization of quantum groups among Hopf algebras, similar to the character ization of Lie groups among locally compact groups. It is thus extremely valuable to develop the general theory, as this book does, with emphasis on the analytical aspects of the subject instead of the purely algebraic ones. The original motivation of M. Enock and J. -M. Schwartz can be formulated as follows: while in the Pontrjagin duality theory of locally compact abelian groups a perfect symmetry exists between a group and its dual, this is no longer true in the various duality theorems of T. Tannaka, M. G. Krein, W. F. Stinespring . . . dealing with non abelian locally compact groups. The aim is then, in the line proposed by G. !. Kac in 1961 and M. Takesaki in 1972, to find a good category of Hopf algebras, containing the category of locally compact groups and fulfilling a perfect duality.
Author | : Loren N. Argabright |
Publisher | : American Mathematical Soc. |
Total Pages | : 61 |
Release | : 1974 |
Genre | : Abelian groups |
ISBN | : 0821818457 |
Download Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups Book in PDF, ePub and Kindle
In harmonic analysis on a LCA group G, the term "Fourier transform" has a variety of meanings. It refers to various objects constructed in special ways, depending on the desired theory. The standard theories include the theory of Fourier-Stieltjes transforms, the Plancherel theorem, and the Bochner theorem can be viewed as another aspect of this phenomenon. However, except for special cases, we know of no attempt in the literature to undertake the desired synthesis. The purpose of the present work is to give a systematic account of such an attempt.
Author | : Brian Edmund Forrest |
Publisher | : National Library of Canada |
Total Pages | : 186 |
Release | : 1987 |
Genre | : Locally compact groups |
ISBN | : |
Download Amenability and Ideals in the Fourier Algebra of Locally Compact Groups [microform] Book in PDF, ePub and Kindle
Author | : Kelly McKennon |
Publisher | : American Mathematical Soc. |
Total Pages | : 75 |
Release | : 1971 |
Genre | : Algebraic functions |
ISBN | : 0821818112 |
Download Multipliers, Positive Functionals, Positive-Definite Functions, and Fourier-Stieltjes Transforms Book in PDF, ePub and Kindle
Author | : Gero Fendler |
Publisher | : |
Total Pages | : |
Release | : 2013 |
Genre | : |
ISBN | : |
Download Weak* Fixed Point Property and Asymptotic Centre for the Fourier-Stieltjes Algebra of a Locally Compact Group Book in PDF, ePub and Kindle
Author | : Laura Martí Pérez |
Publisher | : |
Total Pages | : 180 |
Release | : 2011 |
Genre | : |
ISBN | : |
Download The Fourier Algebra of a Locally Trivial Groupoid Book in PDF, ePub and Kindle
The goal of this thesis is to define and study the Fourier algebra A(G) of a locally compact groupoid G. If G is a locally compact group, its Fourier-Stieltjes algebra B(G) and its Fourier algebra A(G) were defined by Eymard in 1964. Since then, a rich theory has been developed. For the groupoid case, the algebras B(G) and A(G) have been studied by Ramsay and Walter (borelian case, 1997), Renault (measurable case, 1997) and Paterson (locally compact case, 2004). In this work, we present a new definition of A(G) in the locally compact case, specially well suited for studying locally trivial groupoids.
Author | : Mahmoud Filali |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 264 |
Release | : 2020-08-24 |
Genre | : Mathematics |
ISBN | : 3110602415 |
Download Banach Algebras and Applications Book in PDF, ePub and Kindle
Banach algebras is a multilayered area in mathematics with many ramifications. With a diverse coverage of different schools working on the subject, this proceedings volume reflects recent achievements in areas such as Banach algebras over groups, abstract harmonic analysis, group actions, amenability, topological homology, Arens irregularity, C*-algebras and dynamical systems, operator theory, operator spaces, and locally compact quantum groups.
Author | : J. M.G. Fell |
Publisher | : Academic Press |
Total Pages | : 771 |
Release | : 1988-04-15 |
Genre | : Mathematics |
ISBN | : 0080874444 |
Download Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles Book in PDF, ePub and Kindle
This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact Groups and its generalization to representations of Banach algebras. The presentation is detailed, accessible, and self-contained (except for some elementary knowledge in algebra, topology, and abstract measure theory). In the later chapters the reader is brought to the frontiers of present-day knowledge in the area of Mackey normal subgroup analysisand its generalization to the context of Banach *-Algebraic Bundles.