Introduction To The Theory Of Banach Representations Of Groups

Author : Yurii I. Lyubich
Publisher : Birkhäuser
Page : 231 pages
File Size : 46,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034891691

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Introduction to the Theory of Banach Representations of Groups by Yurii I. Lyubich Pdf

The theory of group representations plays an important roie in modern mathematics and its applica~ions to natural sciences. In the compulsory university curriculum it is included as a branch of algebra, dealing with representations of finite groups (see, for example, the textbook of A. I. Kostrikin [25]). The representation theory for compact, locally compact Abelian, and Lie groups is co vered in graduate courses, concentrated around functional analysis. The author of the present boo~ has lectured for many years on functional analysis at Khar'kov University. He subsequently con tinued these lectures in the form of a graduate course on the theory of group representations, in which special attention was devoted to a retrospective exposition of operator theory and harmo nic analysis of functions from the standpoint of representation theory. In this approach it was natural to consider not only uni tary, but also Banach representations, and not only representations of groups, but also of semigroups.

Author : H. Garth Dales
Publisher : Cambridge University Press
Page : 338 pages
File Size : 53,7 Mb
Release : 2003-11-13
Category : Mathematics
ISBN : 0521535840

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Introduction to Banach Algebras, Operators, and Harmonic Analysis by H. Garth Dales Pdf

Table of contents

Author : Mikhail M. Lavrent'ev,Sergey I. Kabanikhin,Akbar H. Begmatov,Tukhtamurad D. Dzhuraev,Saburou Saitoh,Masahiro Yamamoto
Publisher : Walter de Gruyter GmbH & Co KG
Page : 216 pages
File Size : 46,9 Mb
Release : 2014-07-24
Category : Mathematics
ISBN : 9783110936520

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Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis by Mikhail M. Lavrent'ev,Sergey I. Kabanikhin,Akbar H. Begmatov,Tukhtamurad D. Dzhuraev,Saburou Saitoh,Masahiro Yamamoto Pdf

These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", held at the Samarkand State University, Uzbekistan in September 2000 bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics. The book covers the following topics: theory of ill-posed problems inverse problems for differential equations boundary value problems for equations of mixed type integral geometry mathematical modelling and numerical methods in natural sciences

Author : Anonim
Publisher : Academic Press
Page : 322 pages
File Size : 55,5 Mb
Release : 1975-11-05
Category : Mathematics
ISBN : 0080956254

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An Introduction to Group Representation Theory by Anonim Pdf

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Author : Klaus D. Bierstedt,Albrecht Pietsch,Wolfgang M. Ruess,Dietmar Vogt
Publisher : CRC Press
Page : 556 pages
File Size : 43,6 Mb
Release : 1993-09-16
Category : Mathematics
ISBN : 0824790669

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Functional Analysis by Klaus D. Bierstedt,Albrecht Pietsch,Wolfgang M. Ruess,Dietmar Vogt Pdf

These proceedings from the Symposium on Functional Analysis explore advances in the usually separate areas of semigroups of operators and evolution equations, geometry of Banach spaces and operator ideals, and Frechet spaces with applications in partial differential equations.

Author : Yu.I. Lyubich
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 55,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662028490

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Functional Analysis I by Yu.I. Lyubich Pdf

The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.

Author : Karl H. Hofmann,Sidney A. Morris
Publisher : Walter de Gruyter GmbH & Co KG
Page : 1034 pages
File Size : 47,5 Mb
Release : 2020-06-08
Category : Mathematics
ISBN : 9783110695991

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The Structure of Compact Groups by Karl H. Hofmann,Sidney A. Morris Pdf

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 : V.P. Havin,N.K. Nikolski
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642589461

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Commutative Harmonic Analysis II by V.P. Havin,N.K. Nikolski Pdf

Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications to a multitude of problems. It is widely understood that the explanation of this miraculous power stems from group theoretic ideas underlying practically everything in harmonic analysis. This book is an unusual combination of the general and abstract group theoretic approach with a wealth of very concrete topics attractive to everybody interested in mathematics. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.

Author : John Hunter Williamson
Publisher : Unknown
Page : 186 pages
File Size : 45,6 Mb
Release : 1967
Category : Banach algebras
ISBN : STANFORD:36105030777812

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Representation Theory for Banach Algebras and Locally Compact Topological Groups by John Hunter Williamson Pdf

Author : Tsoy-Wo Ma
Publisher : World Scientific
Page : 606 pages
File Size : 48,8 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 9812380388

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Banach-Hilbert Spaces, Vector Measures and Group Representations by Tsoy-Wo Ma Pdf

This book provides an elementary introduction to classical analysis on normed spaces, with special attention paid to fixed points, calculus, and ordinary differential equations. It contains a full treatment of vector measures on delta rings without assuming any scalar measure theory and hence should fit well into existing courses. The relation between group representations and almost periodic functions is presented. The mean values offer an infinite-dimensional analogue of measure theory on finite-dimensional Euclidean spaces. This book is ideal for beginners who want to get through the basic material as soon as possible and then do their own research immediately.

Author : Jean-Philippe Anker,Bent Orsted
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780817681920

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Lie Theory by Jean-Philippe Anker,Bent Orsted Pdf

* First of three independent, self-contained volumes under the general title, "Lie Theory," featuring original results and survey work from renowned mathematicians. * Contains J. C. Jantzen's "Nilpotent Orbits in Representation Theory," and K.-H. Neeb's "Infinite Dimensional Groups and their Representations." * Comprehensive treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to representations. * Should benefit graduate students and researchers in mathematics and mathematical physics.

Author : Alain Robert
Publisher : Cambridge University Press
Page : 217 pages
File Size : 55,8 Mb
Release : 1983-02-10
Category : Mathematics
ISBN : 9780521289757

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Introduction to the Representation Theory of Compact and Locally Compact Groups by Alain Robert Pdf

Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.

Author : Martin Burrow
Publisher : Courier Corporation
Page : 210 pages
File Size : 43,7 Mb
Release : 2014-05-05
Category : Mathematics
ISBN : 9780486145075

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Representation Theory of Finite Groups by Martin Burrow Pdf

DIVConcise, graduate-level exposition covers representation theory of rings with identity, representation theory of finite groups, more. Exercises. Appendix. 1965 edition. /div

Author : Eberhard Kaniuth,Keith F. Taylor
Publisher : Cambridge University Press
Page : 359 pages
File Size : 54,6 Mb
Release : 2013
Category : Mathematics
ISBN : 9780521762267

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Induced Representations of Locally Compact Groups by Eberhard Kaniuth,Keith F. Taylor Pdf

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

Author : Dubravka Ban
Publisher : Springer Nature
Page : 219 pages
File Size : 45,5 Mb
Release : 2023-02-11
Category : Mathematics
ISBN : 9783031226847

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p-adic Banach Space Representations by Dubravka Ban Pdf

This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book gives a comprehensive introduction to the necessary tools, including Iwasawa algebras, p-adic measures and distributions, p-adic functional analysis, reductive groups, and smooth and algebraic representations. Part 1 culminates with the duality between Banach space representations and Iwasawa modules. This duality is applied in Part 2 for studying the intertwining operators and reducibility of the continuous principal series on p-adic Banach spaces. This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.