Analysis and Geometry on Groups

Name: Analysis and Geometry on Groups
Price: 58.02 USD
Availability: InStock
ISBN: 9780521088015

ISBN-10: 0521088011

ISBN-13: 9780521088015

Edition: 2008

Authors: Nicholas T. Varopoulos, L. Saloff-Coste, T. Coulhon

List price: $58.99

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Description:

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 details

List price: $58.99
Copyright year: 2008
Publisher: Cambridge University Press
Publication date: 12/11/2008
Binding: Paperback
Pages: 172
Size: 6.18" wide x 9.06" long x 0.39" tall
Weight: 0.572
Language: English



Preface


Foreword



Introduction



Dimensional inequalities for semigroups of operators on the Lp spaces



Systems of vector fields satisfying H_rmander'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