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Solvable algebras of pseudodifferent...

Plamenevskii, B. A.

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Solvable algebras of pseudodifferential operators

Record Type:	Electronic resources : Monograph/item
Title/Author:	Solvable algebras of pseudodifferential operators/ by 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

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

Solvable algebras of pseudodifferential operators
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100 1 $a Plamenevskii, B. A. $3 708493
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 579200
650 1 4 $a Operator Theory. $3 897311
700 1 $a Sarafanov, Oleg. $3 3493268
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Pseudo-differential operators, theory and applications ; $v v. 15. $3 3632400
856 4 0 $u https://doi.org/10.1007/978-3-031-28398-7
950 $a Mathematics and Statistics (SpringerNature-11649)