Boris Plamenevskii,
Oleg Sarafanov
Solvable Algebras of Pseudodifferential Operators
Paperback Engels 2023 9783031283970
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783031283970
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
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Inhoudsopgave
<p>- 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.</p>
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