The technique of pseudodifferential operators /

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Bibliographic Details
Author / Creator:Cordes, H. O. (Heinz Otto), 1925-
Imprint:Cambridge [England] ; New York : Cambridge University Press, 1995.
Description:1 online resource (xii, 382 pages) : illustrations.
Language:English
Series:London Mathematical Society lecture note series ; 202
London Mathematical Society lecture note series ; 202.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11181742
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ISBN:9781107361584
1107361583
0521378648
9780521378642
Notes:Includes bibliographical references (pages 370-379) and index.
Print version record.
Summary:Pseudodifferential operators arise naturally in the solution of boundary problems for partial differential equations. The formalism of these operators serves to make the Fourier-Laplace method applicable for nonconstant coefficient equations. 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. This book will be of particular interest to researchers in partial differential equations and mathematical physics.
Other form:Print version: Cordes, H.O. (Heinz Otto), 1925- Technique of pseudodifferential operators. Cambridge [England] ; New York : Cambridge University Press, 1995 0521378648