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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.

Boekdetails

Serie
Pseudo-Differential Operators
Ondertitel
Pseudo-Differential Operators
Formaat
Paperback / softback
Uitgever
Birkhauser Verlag AG
Imprint
Birkhauser Verlag AG
Auteur
Boris Plamenevskii || Oleg Sarafanov, Birkhauser Verlag AG, Birkhauser Verlag AG
ISBN-13
9783031283970
Verschijningsdatum
2023-05-05
Editie
1st ed. 2023
Afmetingen
168 mm × 240 mm
Land van herkomst
NL

Paperback / softback

Solvable Algebras of Pseudodifferential Operators

door Boris Plamenevskii || Oleg Sarafanov

€ 127,66
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