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Solvable algebras of pseudodifferent...

Plamenevskii, B. A.

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Solvable algebras of pseudodifferential operators

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Solvable algebras of pseudodifferential operators/ by Boris Plamenevskii, Oleg Sarafanov.
作者:	Plamenevskii, B. A.
其他作者:	Sarafanov, Oleg.
出版者:	Cham :Springer International Publishing : : 2023.,
面頁冊數:	xii, 241 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Pseudodifferential operators. -
電子資源:	https://doi.org/10.1007/978-3-031-28398-7
ISBN:	9783031283987

Solvable algebras of pseudodifferential operators
Plamenevskii, B. A.

Solvable algebras of pseudodifferential operators[electronic resource] /by Boris Plamenevskii, Oleg Sarafanov. - Cham :Springer International Publishing :2023. - xii, 241 p. :ill., digital ;24 cm. - Pseudo-differential operators, theory and applications,v. 152297-0363 ;. - Pseudo-differential operators, theory and applications ;v. 15..

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.

ISBN: 9783031283987

Standard No.: 10.1007/978-3-031-28398-7doiSubjects--Topical Terms:

579200
Pseudodifferential operators.

LC Class. No.: QA329.7

Dewey Class. No.: 515.7242

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245 1 0 $a Solvable algebras of pseudodifferential operators $h [electronic resource] / $c by Boris Plamenevskii, Oleg Sarafanov.
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520 $a 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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