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Solvable Algebras of Pseudodifferential Operators. 1st ed. 2023.
・ISBN 978-3-031-28397-0 paper EUR 89.99
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| 著者・編者 | Plamenevskii, Boris / Sarafanov, Oleg, |
|---|---|
| シリーズ | Pseudo-Differential Operators |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2023 |
| ページ数 | 241 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-6158＞ |
解説
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.
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.