Solvable Algebras of Pseudodifferential Operators
(Sprache: Englisch)
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...
C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. For each algebra, all the equivalence classes of...
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Klappentext zu „Solvable Algebras of Pseudodifferential Operators “
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.
Inhaltsverzeichnis zu „Solvable Algebras of Pseudodifferential Operators “
- 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.
Autoren-Porträt von Boris Plamenevskii, Oleg Sarafanov
Prof. Boris Plamenevskii and Prof. Oleg Sarafanov are researchers in mathematics.
Bibliographische Angaben
- Autoren: Boris Plamenevskii , Oleg Sarafanov
- 2023, 1st ed. 2023, XII, 241 Seiten, Maße: 16,8 x 24 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 303128397X
- ISBN-13: 9783031283970
Sprache:
Englisch
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