Elliptic Operators and Lie Groups (Oxford Mathematical Monographs) - Derek W. Robinson (1991)
ISBN 0198535910
Subject Elliptic operators; Lie groups
Publisher Oxford University Press, USA
Publication Date 11/7/1991
Format Hardcover (243 x 165 mm)
Language e
Elliptic operators arise naturally in several different mathematical settings, notably in the representation theory of Lie groups, the study of evolution equations, and the examination of Riemannian manifolds. This book develops the basic theory of elliptic operators on Lie groups and thereby
extends the conventional theory of parabolic evolution equations to a natural noncommutative context. In order to achieve this goal, the author presents a synthesis of ideas from partial differential equations, harmonic analysis, functional analysis, and the theory of Lie groups. He begins by
discussing the abstract theory of general operators with complex coefficients before concentrating on the central case of second-order operators with real coefficients. A full discussion of second-order subelliptic operators is also given. Prerequisites are a familiarity with basic semigroup theory,
the elementary theory of Lie groups, and a firm grounding in functional analysis as might be gained from the first year of a graduate course.
Personal Details
Collection Status In Collection
Index 599
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Product Details
LoC Classification QA329.42.R63 1991
Dewey 515/.7242
Cover Price $95.00
No. of Pages 578