Analysis on Lie Groups with Polynomial Growth

Nick Dungey, A.F.M. ter Elst, Derek Robinson

312 pages, parution le 29/10/2003

Ajouter à une liste

Indisponible

Résumé

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.

Key features:

Completely self-contained work, including a review of well-established local theory for elliptic operators and a summary of the essential aspects of Lie group theory
Numerous illustrative examples
Appendices covering technical subtleties
An exhaustive bibliography and index

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.

Preface
Introduction
General Formalism
Structure Theory
Homogenization and Kernel Bounds
Global Derivatives
Asymptotics
Appendices
References
Index of Notation
Index

L'auteur - Nick Dungey

Australian National University, Canberra, Australia

L'auteur - A.F.M. ter Elst

Eindhoven University of Technology, Eindhoven, The Netherlands

L'auteur - Derek Robinson

Australian National University, Canberra, Australia

Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Nick Dungey, A.F.M. ter Elst, Derek Robinson
Parution	29/10/2003
Nb. de pages	312
Format	16 x 24
Couverture	Broché
Poids	610g
Intérieur	Noir et Blanc
EAN13	9780817632250
ISBN13	978-0-8176-3225-0