Analysis and Geometry on Groups

Klappentext The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups. Zusammenfassung 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. Inhaltsverzeichnis 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.

Product details

• Authors: T. Coulhon, L. Saloff-Coste, N. Th Varopoulos, Nicholas T. Varopoulos, Nicholas T. Saloff-Coste Varopoulos, Nicholas Theodoros Saloff-Coste Varopoulos
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 11.12.2008
• EAN: 9780521088015
• ISBN: 978-0-521-08801-5
• No. of pages: 172
• Series: Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Geometry