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Technique of Pseudodifferential Operators

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ISBN-10: 0521378648

ISBN-13: 9780521378642

Edition: 1994

Authors: H. O. Cordes

List price: $57.95
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Description:

This book presents the technique of pseudodifferential operators and its applications, especially to the Dirac theory of quantum mechanics. The treatment uses "Leibniz' formulas" with integral remainders or as asymptotic series. A pseudodifferential operator may also be described by invariance under action of a Lie-group. The author discusses connections to the theory of C*-algebras, invariant algebras of pseudodifferential operators under hyperbolic evolution, and the relation of the hyperbolic theory to the propagation of maximal ideals.
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Book details

List price: $57.95
Copyright year: 1994
Publisher: Cambridge University Press
Publication date: 2/23/1995
Binding: Paperback
Pages: 396
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.188
Language: English

Introductory discussion
Calculus of pseudodifferential operators
Elliptic operators and parametrices in Rn
L2-Sobolev theory and applications
Pseudodifferential operators on manifolds with conical ends
Elliptic and parabolic problems
Hyperbolic first order systems on Rn
Hyperbolic differential equations
Pseudodifferential operators as smooth operators of L(H)
Particle flow and invariant algebra of a strictly hyperbolic system
The invariant algebra of the Dirac equation