Solvable Algebras of Pseudodifferential Operators - Couverture souple

Plamenevskii, Boris; Sarafanov, Oleg

 
9783031283994: Solvable Algebras of Pseudodifferential Operators

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783031283970: Solvable Algebras of Pseudodifferential Operators

Edition présentée

ISBN 10 :  303128397X ISBN 13 :  9783031283970
Editeur : Birkhäuser, 2023
Couverture souple