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Analysis Of Groups
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Book Synopsis Fourier Analysis on Groups by : Walter Rudin
Download or read book Fourier Analysis on Groups written by Walter Rudin and published by Courier Dover Publications. This book was released on 2017-04-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analysis and Geometry on Groups by : Nicholas T. Varopoulos
Download or read book Analysis and Geometry on Groups written by Nicholas T. Varopoulos and published by Cambridge University Press. This book was released on 1993-01-07 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Analysis of Groups: Contributions to Theory, Research, and Practice by : Graham S. Gibbard
Download or read book Analysis of Groups: Contributions to Theory, Research, and Practice written by Graham S. Gibbard and published by Jossey-Bass. This book was released on 1974-02-04 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis on Lie Groups by : Jacques Faraut
Download or read book Analysis on Lie Groups written by Jacques Faraut and published by Cambridge University Press. This book was released on 2008-05-22 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Finding Groups in Data by : Leonard Kaufman
Download or read book Finding Groups in Data written by Leonard Kaufman and published by Wiley-Interscience. This book was released on 1990-03-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partitioning around medoids (Program PAM). Clustering large applications (Program CLARA). Fuzzy analysis (Program FANNY). Agglomerative Nesting (Program AGNES). Divisive analysis (Program DIANA). Monothetic analysis (Program MONA). Appendix.
Book Synopsis Fourier Analysis on Finite Groups and Applications by : Audrey Terras
Download or read book Fourier Analysis on Finite Groups and Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 1999-03-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Book Synopsis Harmonic Analysis on Free Groups by : Figa-Talamanca
Download or read book Harmonic Analysis on Free Groups written by Figa-Talamanca and published by CRC Press. This book was released on 1983-08-17 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of recent results on the theory of representations and the harmonic analysis of free groups. It emphasizes the analogy with the theory of representations of noncompact semisimple Lie groups and restricts the focus to a class of irreducible unitary representations.
Book Synopsis Fourier Analysis on Finite Abelian Groups by : Bao Luong
Download or read book Fourier Analysis on Finite Abelian Groups written by Bao Luong and published by Springer Science & Business Media. This book was released on 2009-08-14 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform to finite Abelian groups. With countless examples and unique exercise sets at the end of each section, Fourier Analysis on Finite Abelian Groups is a perfect companion to a first course in Fourier analysis. This text introduces mathematics students to subjects that are within their reach, but it also has powerful applications that may appeal to advanced researchers and mathematicians. The only prerequisites necessary are group theory, linear algebra, and complex analysis.
Book Synopsis Analysis on Lie Groups with Polynomial Growth by : Nick Dungey
Download or read book Analysis on Lie Groups with Polynomial Growth written by Nick Dungey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.
Book Synopsis The Handbook of Group Research and Practice by : Susan A. Wheelan
Download or read book The Handbook of Group Research and Practice written by Susan A. Wheelan and published by SAGE. This book was released on 2005-06 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized into six practical sections relating theory to application from an historical perspective, this text offers contributions from international scholars and practitioners who reflect the diversity of this field.
Book Synopsis Groups and Geometric Analysis by : Sigurdur Helgason
Download or read book Groups and Geometric Analysis written by Sigurdur Helgason and published by American Mathematical Society. This book was released on 2022-03-17 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group. The introductory chapter is a self-contained account of the analysis on surfaces of constant curvature. Later chapters cover general cases of the Radon transform, spherical functions, invariant operators, compact symmetric spaces and other topics. This book, together with its companion volume, Geometric Analysis on Symmetric Spaces (AMS Mathematical Surveys and Monographs series, vol. 39, 1994), has become the standard text for this approach to geometric analysis. Sigurdur Helgason was awarded the Steele Prize for outstanding mathematical exposition for Groups and Geometric Analysis and Differential Geometry, Lie Groups and Symmetric Spaces.
Book Synopsis Functional Analysis and Semi-groups by : Einar Hille
Download or read book Functional Analysis and Semi-groups written by Einar Hille and published by American Mathematical Soc.. This book was released on 1996-02-06 with total page 826 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early in 1952 it became obvious that a new printing would be needed, and new advances in the theory called for extensive revision. It has been completely rewritten, mostly by Phillips, and much has been added while keeping the existing framework. Thus, the algebraic tools play a major role, and are introduced early, leading to a more satisfactory operational calculus and spectral theory. The Laplace-Stieltjes transform methods, used by Hille, have not been replaced but rather supplemented by the new tools. - Foreword.
Book Synopsis FOUNDATIONS OF GROUP ANALYSIS FOR THE TW by : JASON MARATOS
Download or read book FOUNDATIONS OF GROUP ANALYSIS FOR THE TW written by JASON MARATOS and published by . This book was released on 2019-06-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Groups Acting on Hyperbolic Space by : Juergen Elstrodt
Download or read book Groups Acting on Hyperbolic Space written by Juergen Elstrodt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with discontinuous groups of motions of the unique connected and simply connected Riemannian 3-manifold of constant curva ture -1, which is traditionally called hyperbolic 3-space. This space is the 3-dimensional instance of an analogous Riemannian manifold which exists uniquely in every dimension n :::: 2. The hyperbolic spaces appeared first in the work of Lobachevski in the first half of the 19th century. Very early in the last century the group of isometries of these spaces was studied by Steiner, when he looked at the group generated by the inversions in spheres. The ge ometries underlying the hyperbolic spaces were of fundamental importance since Lobachevski, Bolyai and Gauß had observed that they do not satisfy the axiom of parallels. Already in the classical works several concrete coordinate models of hy perbolic 3-space have appeared. They make explicit computations possible and also give identifications of the full group of motions or isometries with well-known matrix groups. One such model, due to H. Poincare, is the upper 3 half-space IH in JR . The group of isometries is then identified with an exten sion of index 2 of the group PSL(2,
Book Synopsis Harmonic and Applied Analysis by : Stephan Dahlke
Download or read book Harmonic and Applied Analysis written by Stephan Dahlke and published by Birkhäuser. This book was released on 2015-09-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores the connection between the theoretical aspects of harmonic analysis and the construction of advanced multiscale representations that have emerged in signal and image processing. It highlights some of the most promising mathematical developments in harmonic analysis in the last decade brought about by the interplay among different areas of abstract and applied mathematics. This intertwining of ideas is considered starting from the theory of unitary group representations and leading to the construction of very efficient schemes for the analysis of multidimensional data. After an introductory chapter surveying the scientific significance of classical and more advanced multiscale methods, chapters cover such topics as An overview of Lie theory focused on common applications in signal analysis, including the wavelet representation of the affine group, the Schrödinger representation of the Heisenberg group, and the metaplectic representation of the symplectic group An introduction to coorbit theory and how it can be combined with the shearlet transform to establish shearlet coorbit spaces Microlocal properties of the shearlet transform and its ability to provide a precise geometric characterization of edges and interface boundaries in images and other multidimensional data Mathematical techniques to construct optimal data representations for a number of signal types, with a focus on the optimal approximation of functions governed by anisotropic singularities. A unified notation is used across all of the chapters to ensure consistency of the mathematical material presented. Harmonic and Applied Analysis: From Groups to Signals is aimed at graduate students and researchers in the areas of harmonic analysis and applied mathematics, as well as at other applied scientists interested in representations of multidimensional data. It can also be used as a textbook for graduate courses in applied harmonic analysis.
Download or read book Group Action written by Martin Ringer and published by Jessica Kingsley Publishers. This book was released on 2002-01-15 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author does a commendable job of taking what is known about groups, the unconscious, and psychodynamics in an academic sense, and grounding it in relevant experiential education examples. This book is appropriate for intermediate and advanced practitioners who want to stretch their own thinking about group processes and group management. Ringer's text provides a good bridge between academic journals (and contains an abundance of quality citations) and practical application related to group leadership. I [found] it engaging and thought provoking.' - Journal of Experiential Education 'Martin Ringer offers explanations of group processes with examples (both extensive and quite brief) that illustrate both concepts and strategies. Also a rare phenomenon, he positively encourages readers to relax their concentration on the written word and to think, make associations and learn by reflection on their own experiences of being leaders and members of groups.' - Leadership & Organization Development Journal 'It gives huge assistance to a thinking group-worker. [It] brings alternative viewpoints and slants of lighting that open up familiar territory in fresh and stimulating ways. Worth the read.' - ANZPA 2002 'The book's audience is not limited to those in training. Experienced group leaders will have their memories refreshed by his reviews of experimental learning and psychoanalytic and semi-systemic ways of understanding human and group behaviour practitionners in both the fields of adventure and group psychology will recognise that there is a maturity in Ringer's writing. He speaks from a profound understanding that comes from the practical lived level.' - Journal of Adventure Education and Outdoor Living 'In publishing this book, Martin Ringer has provided us with a companion for quiet reflection. It will support group leaders in developing insights into their own practice and in raising their conscious awareness. It is a counterpoint to the many texts that focus on recipes and heuristics for success. In contrast to these superficial quick fixes, the author offers a book that brings the reader to profound reflection...The book is invaluable as a companion to signpost directions for further inquiry and experience. It can act to stretch one's appreciation and understanding of group complexity... It is a book that rewards patient contemplation and delivers high returns for depth of study. As I journey through the troubled and pleasant waters of group life, Martin Ringer's book will be a companion to accompany my thinking and actions.' - Steve Kempster, MBA Programme Director, Lancaster University School of Management Groups provide a powerful medium for therapeutic work, and are the building blocks of all institutions - whether in the education, health, government, or private sectors. Martin Ringer, an internationally known consultant and writer on group psychology, here outlines techniques for understanding groups that will be relevant to those who lead teams in any setting. The result is an accessible guide both to leading a group, and to understanding the necessary dynamics that will result in the best team-work. Throughout, Martin Ringer uses his wide-ranging experience and an informal style to make his points as accessible as possible to all readers - whether or not they have a formal background in group psychology. Rich with new ideas and challenging perspectives, this book is strongly recommended for anyone who wants to improve their ability as a group leader. The author provides basic and fundamental reference points for leaders, whilst also encouraging them to adopt more experimental approaches.
Book Synopsis Focus Groups for the Social Science Researcher by : Jennifer Cyr
Download or read book Focus Groups for the Social Science Researcher written by Jennifer Cyr and published by Cambridge University Press. This book was released on 2019-03-28 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: In highlighting the unique features of focus groups, Cyr explains how they can help social science researchers effectively answer certain research questions.
