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Author: K. R. Parthasarathy
Publisher: Springer
ISBN: 3540361022
Category : Mathematics
Languages : en
Pages : 58
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Book Description
Author: K. R. Parthasarathy
Publisher: Springer
ISBN: 3540361022
Category : Mathematics
Languages : en
Pages : 58
Get Book Here
Book Description
Author: K. R. Parthasarathy
Publisher:
ISBN:
Category :
Languages : en
Pages : 54
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Book Description
Author: Anton Karl Holzherr
Publisher:
ISBN:
Category : Locally compact Abelian groups
Languages : en
Pages : 246
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Book Description
Author: R. Borek
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Karl H. Hofmann
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110695995
Category : Mathematics
Languages : en
Pages : 1034
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Book Description
This book is designed both as a textbook for high-level graduate courses and as a reference for researchers who need to apply the structure and representation theory of compact groups. A gentle introduction to compact groups and their representation theory is followed by self-contained courses on linear and compact Lie groups, and on locally compact abelian groups. This fourth edition was updated with the latest developments in the field.
Author: Ronald Larsen
Publisher: Springer Science & Business Media
ISBN: 3642650309
Category : Mathematics
Languages : en
Pages : 304
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Book Description
When I first considered writing a book about multipliers, it was my intention to produce a moderate sized monograph which covered the theory as a whole and which would be accessible and readable to anyone with a basic knowledge of functional and harmonic analysis. I soon realized, however, that such a goal could not be attained. This realization is apparent in the preface to the preliminary version of the present work which was published in the Springer Lecture Notes in Mathematics, Volume 105, and is even more acute now, after the revision, expansion and emendation of that manuscript needed to produce the present volume. Consequently, as before, the treatment given in the following pages is eclectric rather than definitive. The choice and presentation of the topics is certainly not unique, and reflects both my personal preferences and inadequacies, as well as the necessity of restricting the book to a reasonable size. Throughout I have given special emphasis to the func tional analytic aspects of the characterization problem for multipliers, and have, generally, only presented the commutative version of the theory. I have also, hopefully, provided too many details for the reader rather than too few.
Author: R. Larsen
Publisher: Springer
ISBN: 3540361499
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Author: Rodney Nillsen
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Eberhard Kaniuth
Publisher: American Mathematical Soc.
ISBN: 0821853651
Category : Mathematics
Languages : en
Pages : 321
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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.
Author: Ignacio Vergara Soto
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
This thesis focusses on some approximation properties which generalise amenability for locally compact groups. These properties are defined by means of multipliers of certain algebras associated to the groups. The first part is devoted to the study of the p-AP, which is an extension of the AP of Haagerup and Kraus to the context of operators on Lp spaces. The main result asserts that simple Lie groups of higher rank and finite centre do not satisfy p-AP for any p between 1 and infinity. The second part concentrates on radial Schur multipliers on graphs. The study of these objects is motivated by some connections with actions of discrete groups and weak amenability. The three main results give necessary and sufficient conditions for a function of the natural numbers to define a radial multiplier on different classes of graphs generalising trees. More precisely, the classes of graphs considered here are products of trees, products hyperbolic graphs and finite dimensional CAT(0) cube complexes.
