Analysis and Geometry on Groups

Preface Foreword 1. Introduction 2. Dimensional inequalities for semigroups of operators on the Lp spaces 3. Systems of vector fields satisfying Hormander'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.