Fourier Analysis on Groups

Fourier Analysis on Groups

Author: Walter Rudin

Publisher: Courier Dover Publications

Published: 2017-04-19

Total Pages: 304

ISBN-13: 0486821013

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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.


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 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finding Groups in Data

Finding Groups in Data

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.


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.

Analysis and Geometry on Groups

Analysis and Geometry on Groups

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.


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.

Groups and Geometric Analysis

Groups and Geometric Analysis

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.


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.

Occupational Analysis and Group Process

Occupational Analysis and Group Process

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.


Book Synopsis Occupational Analysis and Group Process by : Jane Clifford O'Brien

Download or read book Occupational Analysis and Group Process written by Jane Clifford O'Brien and published by Elsevier Health Sciences. This book was released on 2014-04-14 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 on Lie Groups

Analysis on Lie Groups

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.


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.

The Cambridge Handbook of Group Interaction Analysis

The Cambridge Handbook of Group Interaction Analysis

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.


Book Synopsis The Cambridge Handbook of Group Interaction Analysis by : Elisabeth Brauner

Download or read book The Cambridge Handbook of Group Interaction Analysis written by Elisabeth Brauner and published by Cambridge University Press. This book was released on 2018-08-02 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis of Groups: Contributions to Theory, Research, and Practice

Analysis of Groups: Contributions to Theory, Research, and Practice

Author: Graham S. Gibbard

Publisher: Jossey-Bass

Published: 1974-02-04

Total Pages: 488

ISBN-13:

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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:

Discrete Groups in Geometry and Analysis

Discrete Groups in Geometry and Analysis

Author: Howe

Publisher: Springer Science & Business Media

Published: 2013-11-22

Total Pages: 223

ISBN-13: 1489966641

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Book Synopsis Discrete Groups in Geometry and Analysis by : Howe

Download or read book Discrete Groups in Geometry and Analysis written by Howe and published by Springer Science & Business Media. This book was released on 2013-11-22 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fourier Analysis on Finite Groups and Applications

Fourier Analysis on Finite Groups and Applications

Author: Audrey Terras

Publisher: Cambridge University Press

Published: 1999-03-28

Total Pages: 456

ISBN-13: 9780521457187

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It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.


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.