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Titlebook: Analysis on Lie Groups with Polynomial Growth; Nick Dungey,A. F. M. Elst,Derek W. Robinson Textbook 2003 Birkhäuser Boston 2003 Algebraic

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期刊全称Analysis on Lie Groups with Polynomial Growth
影响因子2023Nick Dungey,A. F. M. Elst,Derek W. Robinson
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发行地址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.App
学科分类Progress in Mathematics
图书封面Titlebook: Analysis on Lie Groups with Polynomial Growth;  Nick Dungey,A. F. M. Elst,Derek W. Robinson Textbook 2003 Birkhäuser Boston 2003 Algebraic
影响因子.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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https://doi.org/10.1007/978-1-4612-2062-6Algebraic structure; Group theory; Interpolation; Lie group; manifold
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,Wettbewerblicher Rahmen für PPP,oups . of polynomial growth. The eventual aim is to understand the global properties of the kernels and the global geometry of the group. The starting point is the observation that if . is simply connected, then . is the semidirect product . × . of a compact Levi subgroup . and the group radical ..
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