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Technique of Pseudodifferential Operators

By: H. O. Cordes (Author)

Ksh 8,820.00
Format :

Format(s): DRM PDF

ISBN-13: 9780511892455

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Publication Date: February 9th, 2011

Country of Publication: GB

Language: English

Physical Edition EAN: 9780521378642

Category: Calculus & mathematical analysis , Functional analysis & transforms

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  • Description

  • Author Bio

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.

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