eBook

Plamenevskii / Sarafanov

Solvable Algebras of Pseudodifferential Operators

Springer International Publishing

ISBN 978-3-031-28398-7

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Bibliografische Daten

eBook. PDF

2023

XII, 241 p..

In englischer Sprache

Umfang: 241 S.

Verlag: Springer International Publishing

ISBN: 978-3-031-28398-7

Weiterführende bibliografische Daten

Das Werk ist Teil der Reihe: Pseudo-Differential Operators Mathematics and Statistics (R0) Mathematics and Statistics

Produktbeschreibung

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.

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