Non-Fiction Books:

Analysis on Lie Groups with Polynomial Growth

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Description

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.
Release date Australia
September 16th, 2011
Audience
  • Professional & Vocational
Edition
Softcover reprint of the original 1st ed. 2003
Illustrations
VIII, 312 p.
Pages
312
Dimensions
155x235x17
ISBN-13
9781461273998
Product ID
21700146

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