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Solvable algebras of pseudodifferential operators

Record Type:	Electronic resources : Monograph/item
Title/Author:	Solvable algebras of pseudodifferential operatorsby Boris Plamenevskii, Oleg Sarafanov.
Author:	Plamenevskii, B. A.
other author:	Sarafanov, Oleg.
Published:	Cham :Springer International Publishing :2023.
Description:	xii, 241 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Pseudodifferential operators.
Online resource:	https://doi.org/10.1007/978-3-031-28398-7
ISBN:	9783031283987$q(electronic bk.)

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.11..

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$q(electronic bk.)

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

247427
Pseudodifferential operators.

LC Class. No.: QA329.7

Dewey Class. No.: 515.7242

Solvable algebras of pseudodifferential operators
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100 1 $a Plamenevskii, B. A. $3 951110
245 1 0 $a Solvable algebras of pseudodifferential operators $h [electronic resource] / $c by Boris Plamenevskii, Oleg Sarafanov.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2023.
300 $a xii, 241 p. : $b ill., digital ; $c 24 cm.
490 1 $a Pseudo-differential operators, theory and applications, $x 2297-0363 ; $v v. 15
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.
650 0 $a Pseudodifferential operators. $3 247427
650 1 4 $a Operator Theory. $3 274795
700 1 $a Sarafanov, Oleg. $3 893999
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