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OverviewElliptic 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 non-commutative 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 subellilptic 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. Full Product DetailsAuthor: Derek W. Robinson (Head of Section, School of Mathemtical Sciences, Head of Section, School of Mathemtical Sciences, Australian National University, Australia)Publisher: Oxford University Press Imprint: Clarendon Press Dimensions: Width: 16.10cm , Height: 3.80cm , Length: 24.10cm Weight: 1.092kg ISBN: 9780198535911ISBN 10: 0198535910 Pages: 570 Publication Date: 26 September 1991 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |