Elliptic operators and Lie groups
Author(s)
Bibliographic Information
Elliptic operators and Lie groups
（Oxford mathematical monographs）
Clarendon Press, 1991
Available at / 43 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
Dc19:512/R5612070212371
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Note
Bibliography: p. [542]-550
Description and Table of Contents
Description
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 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.
Table of Contents
- Introduction
- Elliptic operators
- Analytic elements
- Semigroup kernels
- Second-order operators
- Elliptic operators with variable coefficients
- Appendices.
by "Nielsen BookData"