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＜電子ブック＞
Solvable Algebras of Pseudodifferential Operators / by Boris Plamenevskii, Oleg Sarafanov
(Pseudo-Differential Operators, Theory and Applications. ISSN:22970363 ; 15)

版	1st ed. 2023.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2023
本文言語	英語
大きさ	XII, 241 p : online resource
著者標目	*Plamenevskii, Boris author Sarafanov, Oleg author SpringerLink (Online service)
件　名	LCSH:Operator theory FREE:Operator Theory
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-031-28398-7

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