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(Ebook) Solvable Algebras of Pseudodifferential Operators by Boris Plamenevskii, Oleg Sarafanov ISBN 9783031283970, 9783031283987, 303128397X, 3031283988

  • SKU: EBN-50025176
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Authors:Boris Plamenevskii, Oleg Sarafanov
Pages:249 pages.
Year:2023
Publisher:Birkhäuser
Language:english
File Size:6.38 MB
Format:pdf
ISBNS:9783031283970, 9783031283987, 303128397X, 3031283988
Categories: Ebooks

Product desciption

(Ebook) Solvable Algebras of Pseudodifferential Operators by Boris Plamenevskii, Oleg Sarafanov ISBN 9783031283970, 9783031283987, 303128397X, 3031283988

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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