The technique of pseudodifferential operators
By: H.O. Cordes.
Series: London Mathematical Society lecture note series ;; 202
Publisher: Cambridge University Press
Published: 1995
Place of publication: Cambridge [England]; New York
Language: eng
Number of pages: 382
Subjects: Pseudodifferential operators.
Description: Pseudodifferential operators arise naturally in a 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. While a pseudodifferential operator is commonly defined by an integral formula, it also may 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. The Technique of Pseudodifferential Operators will be of particular interest to researchers in partial differential equations and mathematical physics.
Notes: Includes bibliographical references (p. 370-379) and index.