Author: Brian Edmund Forrest
Publisher: National Library of Canada
ISBN:
Category : Locally compact groups
Languages : en
Pages : 186
Book Description
Amenability and Ideals in the Fourier Algebra of Locally Compact Groups [microform]
Author: Brian Edmund Forrest
Publisher: National Library of Canada
ISBN:
Category : Locally compact groups
Languages : en
Pages : 186
Book Description
Publisher: National Library of Canada
ISBN:
Category : Locally compact groups
Languages : en
Pages : 186
Book Description
Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups
Author: Eberhard Kaniuth
Publisher: American Mathematical Soc.
ISBN: 0821853651
Category : Mathematics
Languages : en
Pages : 321
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821853651
Category : Mathematics
Languages : en
Pages : 321
Book Description
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.
Amenability and Operator Amenability of the Group Algebra and the Fourier Algebra of Locally Compact Groups
Author: Xinghua Zhou
Publisher:
ISBN:
Category :
Languages : en
Pages : 138
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 138
Book Description
Amenable Locally Compact Groups
Author: Jean-Paul Pier
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 440
Book Description
Collects the most recent results scattered throughout the literature on the theory of amenable groups, presenting a detailed investigation of the major features. The first part of the book discusses the different types of amenability properties, with basic examples listed. The second part provides complementary information on various aspects of amenability and a look at future directions.
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 440
Book Description
Collects the most recent results scattered throughout the literature on the theory of amenable groups, presenting a detailed investigation of the major features. The first part of the book discusses the different types of amenability properties, with basic examples listed. The second part provides complementary information on various aspects of amenability and a look at future directions.
On Multipliers of the Fourier Algebra of a Locally Compact Group [microform]
Author: Nicolaas Spronk
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612708754
Category :
Languages : en
Pages : 234
Book Description
Publisher: National Library of Canada = Bibliothèque nationale du Canada
ISBN: 9780612708754
Category :
Languages : en
Pages : 234
Book Description
Fourier Analysis on Groups
Author: Walter Rudin
Publisher: Courier Dover Publications
ISBN: 0486821013
Category : Mathematics
Languages : en
Pages : 305
Book Description
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.
Publisher: Courier Dover Publications
ISBN: 0486821013
Category : Mathematics
Languages : en
Pages : 305
Book Description
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.
Fourier Analysis of Unbounded Measures on Locally Compact Abelian Groups
Author: Loren N. Argabright
Publisher: American Mathematical Soc.
ISBN: 0821818457
Category : Abelian groups
Languages : en
Pages : 61
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 0821818457
Category : Abelian groups
Languages : en
Pages : 61
Book Description
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.
Amenability for the Fourier Algebra
Author: Aaron Peter Tikuisis
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Amenability and Invariance Properties of Group Algebras of Locally Compact Groups
Author: Ross Stokke
Publisher:
ISBN:
Category : Group algebras
Languages : en
Pages : 182
Book Description
Publisher:
ISBN:
Category : Group algebras
Languages : en
Pages : 182
Book Description
Canadiana
Author:
Publisher:
ISBN:
Category : Canada
Languages : en
Pages : 1266
Book Description
Publisher:
ISBN:
Category : Canada
Languages : en
Pages : 1266
Book Description