Solvable algebras of pseudodifferential operators / Boris Plamenevskii, Oleg Sarafanov.
2023
QA329.7
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Title
Solvable algebras of pseudodifferential operators / Boris Plamenevskii, Oleg Sarafanov.
Author
Plamenevskiĭ, B. A., author.
ISBN
9783031283987 (electronic bk.)
3031283988 (electronic bk.)
9783031283970
303128397X
3031283988 (electronic bk.)
9783031283970
303128397X
Published
Cham, Switzerland : Birkhäuser, 2023.
Language
English
Description
1 online resource (xii, 241 pages).
Item Number
10.1007/978-3-031-28398-7 doi
Call Number
QA329.7
Dewey Decimal Classification
515/.7242
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed May 11, 2023).
Added Author
Sarafanov, Oleg, author.
Series
Pseudo-differential operators, theory and applications ; v. 15. 2297-0363
Available in Other Form
Print version: 9783031283970
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