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Analysis on Lie groups with polynomial growth /

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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 op...

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Bibliographic Details
Main Author: Dungey, Nick
Corporate Author: SpringerLink (Online service)
Other Authors: Elst, A. F. M. ter, Robinson, Derek W.
Format: eBook
Language:English
Published: Boston : Birkhäuser, 2003.
Series:Progress in mathematics (Boston, Mass.) ; v. 214.
Subjects:
Lie groups.
Harmonic analysis.
Differential equations, Partial > Asymptotic theory.
Homogenization (Differential equations)
Operadores diferenciais.
Analise Funcional.
Asymptotik.
Harmonische Analyse.
Homogenisierung (Mathematik)
Lie-Gruppe.
Partielle Differentialgleichung.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (viii, 312 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages [289]-297) and index.
ISBN:9781461220626 (electronic bk.)
1461220629 (electronic bk.)