The Theory of Distributions on Locally Compact Groups with Applications to Group Representations PDF Download
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Author: David Lee Johnson
Publisher:
ISBN:
Category :
Languages : en
Pages : 864
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Author: David Lee Johnson
Publisher:
ISBN:
Category :
Languages : en
Pages : 864
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Author: David L. Johnson
Publisher:
ISBN:
Category :
Languages : en
Pages : 435
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Author: Karl H. Hofmann
Publisher: Walter de Gruyter
ISBN: 3110296799
Category : Mathematics
Languages : en
Pages : 948
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Book Description
The subject matter of compact groups is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics. This book serves the dual purpose of providing a textbook on it for upper level graduate courses or seminars, and of serving as a source book for research specialists who need to apply the structure and representation theory of compact groups. After a gentle introduction to compact groups and their representation theory, the book presents self-contained courses on linear Lie groups, on compact Lie groups, and on locally compact abelian groups. Separate appended chapters contain the material for courses on abelian groups and on category theory. However, the thrust of the book points in the direction of the structure theory of not necessarily finite dimensional, nor necessarily commutative, compact groups, unfettered by weight restrictions or dimensional bounds. In the process it utilizes infinite dimensional Lie algebras and the exponential function of arbitrary compact groups. The first edition of 1998 and the second edition of 2006 were well received by reviewers and have been frequently quoted in the areas of instruction and research. For the present new edition the text has been cleaned of typographical flaws and the content has been conceptually sharpened in some places and polished and improved in others. New material has been added to various sections taking into account the progress of research on compact groups both by the authors and other writers. Motivation was provided, among other things, by questions about the structure of compact groups put to the authors by readers through the years following the earlier editions. Accordingly, the authors wished to clarify some aspects of the book which they felt needed improvement. The list of references has increased as the authors included recent publications pertinent to the content of the book.
Author: Leon Ehrenpreis
Publisher: American Mathematical Soc.
ISBN: 0821812211
Category : Compact spaces
Languages : en
Pages : 86
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Book Description
The theory of distributions of Laurent Schwartz may be regarded as a study of the operators [partial symbol]/[partial symbol]x[subscript]i on Euclidean space. In the present paper we should like to shoe in what manner the methods of Schwartz can be extended to a much more general class of functional operators, which act on functions defined on a locally compact space R which is denumerable at infinity.
Author: Ion Colojoara
Publisher:
ISBN: 9786068443102
Category : Locally compact groups
Languages : en
Pages : 0
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Book Description
This text is a modern presentation of the general theory of representations of locally compact groups. In a small number of pages, the reader meets some of the most important theorems on the subject, illustrated by many examples. A generous introduction explains the origins of group theory and their representations, the motivation for the main problems in this theory, and the deep connections with modern physics. About half of the results included appear for the first time in a book.
Author: A Barut
Publisher: World Scientific Publishing Company
ISBN: 9813103876
Category : Mathematics
Languages : en
Pages : 740
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Book Description
The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be useful in many areas of research. It is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations. Request Inspection Copy
Author: T. H. Koornwinder
Publisher:
ISBN: 9789061961611
Category : Locally compact groups
Languages : en
Pages : 496
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 836
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Author: Gennadiy Feldman
Publisher: American Mathematical Society
ISBN: 1470472953
Category : Mathematics
Languages : en
Pages : 253
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Book Description
It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous Kac-Bernstein theorem, is a typical example of a so-called characterization theorem. Characterization theorems in mathematical statistics are statements in which the description of possible distributions of random variables follows from properties of some functions of these random variables. The first results in this area are associated with famous 20th century mathematicians such as G. Pólya, M. Kac, S. N. Bernstein, and Yu. V. Linnik. By now, the corresponding theory on the real line has basically been constructed. The problem of extending the classical characterization theorems to various algebraic structures has been actively studied in recent decades. The purpose of this book is to provide a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is interested in probability distributions and functional equations on groups.
Author: Karl H. Hofmann
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111172600
Category : Mathematics
Languages : en
Pages : 1076
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Book Description
