Groups And Analysis
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Analysis Of Groups Contributions To Theory Research And Practice
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Author : Graham S. Gibbard
language : en
Publisher: Jossey-Bass
Release Date : 1974-02-04
Analysis Of Groups Contributions To Theory Research And Practice written by Graham S. Gibbard and has been published by Jossey-Bass this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974-02-04 with Psychology categories.
Analysis And Geometry On Groups
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Author : Nicholas T. Varopoulos
language : en
Publisher: Cambridge University Press
Release Date : 1993-01-07
Analysis And Geometry On Groups written by Nicholas T. Varopoulos and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-07 with Mathematics categories.
The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups, and the methods used are analytical, but are not concerned with what is described these days as real analysis. Most of the results described in this book have a dual formulation: they have a "discrete version" related to a finitely generated discrete group and a continuous version related to a Lie group. The authors chose to center this book around Lie groups, but could easily have pushed it in several other directions as it interacts with the theory of second order partial differential operators, and probability theory, as well as with group theory.
Groups And Geometric Analysis
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Author : Sigurdur Helgason
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Groups And Geometric Analysis written by Sigurdur Helgason and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume, the second of Helgason's impressive three books on Lie groups and the geometry and analysis of symmetric spaces, is an introduction to group-theoretic methods in analysis on spaces with a group action. The first chapter deals with the three two-dimensional spaces of constant curvature, requiring only elementary methods and no Lie theory. It is remarkably accessible and would be suitable for a first-year graduate course. The remainder of the book covers more advanced topics, including the work of Harish-Chandra and others, but especially that of Helgason himself. Indeed, the exposition can be seen as an account of the author's tremendous contributions to the subject.Chapter I deals with modern integral geometry and Radon transforms. The second chapter examines the interconnection between Lie groups and differential operators. Chapter IV develops the theory of spherical functions on semisimple Lie groups with a certain degree of completeness, including a study of Harish-Chandra's $c$-function. The treatment of analysis on compact symmetric spaces (Chapter V) includes some finite-dimensional representation theory for compact Lie groups and Fourier analysis on compact groups. Each chapter ends with exercises (with solutions given at the end of the book!) and historical notes.This book, which is new to the AMS publishing program, is an excellent example of the author's well-known clear and careful writing style. It has become the standard text for the study of spherical functions and invariant differential operators on symmetric spaces. Sigurdur Helgason was awarded the Steele Prize for Groups and Geometric Analysis and the companion volume, ""Differential Geometry, Lie Groups and Symmetric Spaces.""
Fourier Analysis On Groups
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Author : Walter Rudin
language : en
Publisher: Courier Dover Publications
Release Date : 2017-04-19
Fourier Analysis On Groups written by Walter Rudin and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-19 with Mathematics categories.
Written by a master mathematical expositor, this classic text reflects the results of the intense period of research and development in the area of Fourier analysis in the decade preceding its first publication in 1962. The enduringly relevant treatment is geared toward advanced undergraduate and graduate students and has served as a fundamental resource for more than five decades. The self-contained text opens with an overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent measures, homomorphisms of group algebras, measures and Fourier transforms on thin sets, functions of Fourier transforms, closed ideals in L1(G), Fourier analysis on ordered groups, and closed subalgebras of L1(G). Helpful Appendixes contain background information on topology and topological groups, Banach spaces and algebras, and measure theory.
Groups And Analysis
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Author : Katrin Tent
language : en
Publisher: Cambridge University Press
Release Date : 2008-10-16
Groups And Analysis written by Katrin Tent and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-16 with Mathematics categories.
Many areas of mathematics were deeply influenced or even founded by Hermann Weyl, including geometric foundations of manifolds and physics, topological groups, Lie groups and representation theory, harmonic analysis and analytic number theory as well as foundations of mathematics. In this volume, leading experts present his lasting influence on current mathematics, often connecting Weyl's theorems with cutting edge research in dynamical systems, invariant theory, and partial differential equations. In a broad and accessible presentation, survey chapters describe the historical development of each area alongside up-to-the-minute results, focussing on the mathematical roots evident within Weyl's work.
Discrete Groups In Geometry And Analysis
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Author : Howe
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Discrete Groups In Geometry And Analysis written by Howe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Science categories.
Analysis Of Groups
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Author : Graham S. Gibbard
language : en
Publisher:
Release Date : 1976
Analysis Of Groups written by Graham S. Gibbard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Leadership categories.
A Structural Analysis Of Small Groups
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Author : Susan Long
language : en
Publisher:
Release Date : 1987
A Structural Analysis Of Small Groups written by Susan Long and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Group psychoanalysis categories.
Analysis On Lie Groups
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Author : Jacques Faraut
language : en
Publisher: Cambridge University Press
Release Date : 2008-05-22
Analysis On Lie Groups written by Jacques Faraut and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-22 with Mathematics categories.
This self-contained text concentrates on the perspective of analysis, assuming only elementary knowledge of linear algebra and basic differential calculus. The author describes, in detail, many interesting examples, including formulas which have not previously appeared in book form. Topics covered include the Haar measure and invariant integration, spherical harmonics, Fourier analysis and the heat equation, Poisson kernel, the Laplace equation and harmonic functions. Perfect for advanced undergraduates and graduates in geometric analysis, harmonic analysis and representation theory, the tools developed will also be useful for specialists in stochastic calculation and the statisticians. With numerous exercises and worked examples, the text is ideal for a graduate course on analysis on Lie groups.
Interaction Process Analysis
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Author : Robert Freed Bales
language : en
Publisher: Cambridge, Addison-Wesley P
Release Date : 1950
Interaction Process Analysis written by Robert Freed Bales and has been published by Cambridge, Addison-Wesley P this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Social interaction categories.