Groups and Geometric Analysis

Groups and Geometric Analysis PDF

Author: Sigurdur Helgason

Publisher: American Mathematical Society

Published: 2022-03-17

Total Pages: 667

ISBN-13: 0821832115

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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.

Fourier Analysis on Groups

Fourier Analysis on Groups PDF

Author: Walter Rudin

Publisher: Courier Dover Publications

Published: 2017-04-19

Total Pages: 305

ISBN-13: 0486813657

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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.

Finding Groups in Data

Finding Groups in Data PDF

Author: Leonard Kaufman

Publisher: Wiley-Interscience

Published: 1990-03-22

Total Pages: 376

ISBN-13:

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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.

Analysis on Lie Groups

Analysis on Lie Groups PDF

Author: Jacques Faraut

Publisher: Cambridge University Press

Published: 2008-05-22

Total Pages: 314

ISBN-13: 9780521719308

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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.

The Cambridge Handbook of Group Interaction Analysis

The Cambridge Handbook of Group Interaction Analysis PDF

Author: Elisabeth Brauner

Publisher: Cambridge University Press

Published: 2018-08-02

Total Pages: 968

ISBN-13: 1108655165

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This Handbook provides a compendium of research methods that are essential for studying interaction and communication across the behavioral sciences. Focusing on coding of verbal and nonverbal behavior and interaction, the Handbook is organized into five parts. Part I provides an introduction and historic overview of the field. Part II presents areas in which interaction analysis is used, such as relationship research, group research, and nonverbal research. Part III focuses on development, validation, and concrete application of interaction coding schemes. Part IV presents relevant data analysis methods and statistics. Part V contains systematic descriptions of established and novel coding schemes, which allows quick comparison across instruments. Researchers can apply this methodology to their own interaction data and learn how to evaluate and select coding schemes and conduct interaction analysis. This is an essential reference for all who study communication in teams and groups.

Occupational Analysis and Group Process

Occupational Analysis and Group Process PDF

Author: Jane Clifford O'Brien

Publisher: Elsevier Health Sciences

Published: 2014-04-14

Total Pages: 239

ISBN-13: 032329149X

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Get the best instruction on occupational analysis, group process, and therapeutic media - all from one book! Using a matter-of-fact style to share their experiences, successes, and failures, expert authors Jane Clifford O’Brien and Jean W. Solomon provide you with effective therapeutic media; sample activity analyses useful in current health care contexts; practical guidance in play, leisure, and social participation areas of occupation; strategies for effective group management and processes; and overviews of theories supporting best practice. Comprehensive content covers the material taught in group process and occupational analysis courses thoroughly and completely for the OTA. Logically organized content that’s written in a matter-of-fact style helps you better understand and retain information. Clinical pearls emphasize the practical application of the information. Therapeutic Media are tried-and-true methods pulled from the author’s extensive experience.

Analysis and Geometry on Groups

Analysis and Geometry on Groups PDF

Author: Nicholas T. Varopoulos

Publisher: Cambridge University Press

Published: 1993-01-07

Total Pages: 172

ISBN-13: 9780521353823

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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.

Group Analysis: Working with Staff, Teams and Organizations

Group Analysis: Working with Staff, Teams and Organizations PDF

Author: Aleksandra Novakovic

Publisher: Routledge

Published: 2019-02-12

Total Pages: 373

ISBN-13: 0429655630

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Featuring contributions from a range of organizational contexts, Group Analysis: Working with Staff, Teams and Organizations identifies the key features to group analytic practice as well as how different theoretical orientations, such as Systemic and Tavistock Consultancy approaches, can be incorporated into the process. The book addresses two essential features of group analysis: the exploration of unconscious dynamics in groups, and the shifts of observational attention between the group as a whole, the individual in the group, and the group in the individual. Including perspectives from both organizational consultancy and reflective practice, chapters feature analysis with groups and subgroups in a range of settings, including a forensic psychiatric hospital, a children’s hospice, an Anglican religious community and the management team of a global organization. Group Analysis: Working with Staff, Teams and Organizations is a major contribution to the developing literature on group analysis. It will be of great interest to psychotherapists, organizational consultants, facilitators of reflective practice groups, coaches, trainees in these disciplines, and any professionals who work with staff, teams, and organizations.

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