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The Technique of Pseudodifferential Operators by H.O. Cordes
The Technique of Pseudodifferential Operators by H.O. Cordes
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The Technique of Pseudodifferential Operators

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Description

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.
Release date NZ
February 23rd, 1995
Author
Audience
  • Professional & Vocational
Illustrations
Worked examples or Exercises
Pages
396
Dimensions
152x228x21
ISBN-13
9780521378642
Product ID
2478489

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Books >
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Maths & Science >
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Calculus & mathematical analysis >
Functional analysis
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Maths & Science >
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Functional analysis & transforms