Analysis and Geometry on Groups

By: N. Varopoulos, T. Coulhon, L. Saloff-Coste

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Hardcover | 1 July 1993

At a Glance

Hardcover
172 Pages

Dimensions(cm)
22.86 x 15.24 x 1.42

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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.

Industry Reviews

"The book is very concise and contains a great wealth of ideas and results...Each chapter contains a small section, 'References and comments', in which the authors, in their own way, introduce the reader to the brief history of the subject and its bibliography." A. Hulanicki, Mathematical Reviews

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Preface
Foreword
Introduction
Dimensional inequalities for semigroups of operators on the Lp spaces
Systems of vector fields satisfying Hörmander's condition
The heat kernel on nilpotent Lie groups
Local theory for sums of squares of vector fields
Convolution powers on finitely generated groups
Convolution powers on unimodular compactly generated groups
The heat kernel on unimodular Lie groups
Sobolev inequalities on non-unimodular Lie groups
Geometric applications
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Analysis and Geometry on Groups

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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Paperback

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