Analysis on Lie Groups with Polynomial Growth

  • Nick Dungey
  • A. F. M. ter Elst
  • Derek W. Robinson

Part of the Progress in Mathematics book series (PM, volume 214)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Nick Dungey, A. F. M. ter Elst, Derek W. Robinson
    Pages 1-5
  3. Nick Dungey, A. F. M. ter Elst, Derek W. Robinson
    Pages 7-62
  4. Nick Dungey, A. F. M. ter Elst, Derek W. Robinson
    Pages 63-122
  5. Nick Dungey, A. F. M. ter Elst, Derek W. Robinson
    Pages 123-177
  6. Nick Dungey, A. F. M. ter Elst, Derek W. Robinson
    Pages 179-213
  7. Nick Dungey, A. F. M. ter Elst, Derek W. Robinson
    Pages 215-261
  8. Back Matter
    Pages 263-312

About this book

Introduction

Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one.

This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.

Keywords

Algebraic structure Group theory Interpolation Lie group manifold

Authors and affiliations

  • Nick Dungey
    • 1
  • A. F. M. ter Elst
    • 1
    • 2
  • Derek W. Robinson
    • 1
  1. 1.Centre for Mathematics and its Application, Mathematical Sciences InstituteAustralian National UniversityCanberraAustralia
  2. 2.Department of Mathematics and Computer ScienceEindhoven University of TechunologyEindhovenThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-2062-6
  • Copyright Information Birkhäuser Boston 2003
  • Publisher Name Birkhäuser Boston
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-8176-3225-0
  • Online ISBN 978-1-4612-2062-6
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • About this book