Andere Kunden interessierten sich auch für
![Analysis and Geometry on Groups]( "Analysis and Geometry on Groups")
Analysis and Geometry on Groups60,99 €![A Sampler of Riemann-Finsler Geometry]( "A Sampler of Riemann-Finsler Geometry")
A Sampler of Riemann-Finsler Geometry42,99 €![Minkowski Geometry]( "Minkowski Geometry")
Minkowski Geometry79,99 €![Convex Bodies]( "Convex Bodies")
Convex Bodies154,99 €![The Laplacian on a Riemannian Manifold]( "The Laplacian on a Riemannian Manifold")
The Laplacian on a Riemannian Manifold62,99 €![Synthetic Geometry of Manifolds]( "Synthetic Geometry of Manifolds")
Synthetic Geometry of Manifolds121,99 €![The Twenty-Seven Lines Upon the Cubic Surface]( "The Twenty-Seven Lines Upon the Cubic Surface")
The Twenty-Seven Lines Upon the Cubic Surface26,99 €
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 have little to do 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 centre this book around Lie groups but could quite easily have pushed it in several other directions as it interacts with opetators, and probability theory, as well as with group theory. This book will serve as an excellent basis for graduate courses in Lie groups, Markov chains, or potential theory.
Table of contents:
Preface; Foreword; 1. Introduction; 2. Dimensional inequalities for semigroups of operators on the Lp spaces; 3. Systems of vector fields satisfying Hörmander's condition; 4. The heat kernel on nilpotent Lie groups; 5. Local theory for sums of squares of vector fields; 6. Convolution powers on finitely generated groups; 7. Convolution powers on unimodular compactly generated groups; 8. The heat kernel on unimodular Lie groups; 9. Sobolev inequalities on non-unimodular Lie groups; 10. Geometric applications; Bibliography; Index.
Table of contents:
Preface; Foreword; 1. Introduction; 2. Dimensional inequalities for semigroups of operators on the Lp spaces; 3. Systems of vector fields satisfying Hörmander's condition; 4. The heat kernel on nilpotent Lie groups; 5. Local theory for sums of squares of vector fields; 6. Convolution powers on finitely generated groups; 7. Convolution powers on unimodular compactly generated groups; 8. The heat kernel on unimodular Lie groups; 9. Sobolev inequalities on non-unimodular Lie groups; 10. Geometric applications; Bibliography; Index.