Get The Technique of Pseudodifferential Operators (London PDF

By H. O. Cordes

ISBN-10: 0521378648

ISBN-13: 9780521378642

Pseudodifferential operators come up obviously within the answer of boundary difficulties for partial differential equations. The formalism of those operators serves to make the Fourier-Laplace technique acceptable for nonconstant coefficient equations. This e-book provides the means of pseudodifferential operators and its functions, specially to the Dirac concept of quantum mechanics. The remedy makes use of 'Leibniz formulation' with necessary remainders or as asymptotic sequence. A pseudodifferential operator can also be defined via invariance lower than motion of a Lie-group. the writer discusses connections to the idea of C*-algebras, invariant algebras of pseudodifferential operators less than hyperbolic evolution and the relation of the hyperbolic conception to the propagation of maximal beliefs. This booklet may be of specific curiosity to researchers in partial differential equations and mathematical physics.

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The Technique of Pseudodifferential Operators (London Mathematical Society Lecture Note Series) by H. O. Cordes

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