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Analysis on Lie Groups with Polynomial Growth (Paperback, Softcover reprint of the original 1st ed. 2003)
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Analysis on Lie Groups with Polynomial Growth (Paperback, Softcover reprint of the original 1st ed. 2003)
Series: Progress in Mathematics, 214
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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 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.
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