Solvable Algebras of Pseudodifferential Operators 1st Edition by Boris Plamenevskii 3031283987 9783031283987

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Product details:

ISBN 10: 3031283987 

ISBN 13: 9783031283987

Author:  Boris Plamenevskii 

This book presents original research results on pseudodifferential operators. C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of irreducible representations are listed; as a consequence, a criterion for a pseudodifferential operator to be Fredholm is stated, the topology on the spectrum is described, and a solving series is constructed. Pseudodifferential operators on manifolds with edges are introduced, their properties are considered in details, and an algebra generated by the operators is studied. An introductory chapter includes all necessary preliminaries from the theory of pseudodifferential operators and C*-algebras.

Solvable Algebras of Pseudodifferential Operators 1st Table of contents:

1. Preliminaries
2. C∗-algebras of Pseudodifferential Operators on Smooth Manifolds with Discontinuities in Symbols Along a Submanifold
3. Algebra of Pseudodifferential Operators with Piecewise Smooth Symbols on a Smooth Manifold
4. Pseudodifferential Operators on Manifolds with Smooth Closed Edges
5. C∗-Algebra of Pseudodifferential Operators on Manifold with Edges

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Tags: Solvable Algebras, Pseudodifferential Operators, Boris Plamenevskii, equivalence classes