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.
General
| Imprint: |
Birkhauser Verlag AG
|
| Country of origin: |
Switzerland |
| Series: |
Pseudo-Differential Operators, 15 |
| Release date: |
June 2023 |
| First published: |
2023 |
| Authors: |
Boris Plamenevskii
• Oleg Sarafanov
|
| Dimensions: |
240 x 168mm (L x W) |
| Pages: |
241 |
| Edition: |
1st ed. 2023 |
| ISBN-13: |
978-3-03-128397-0 |
| Subtitles: |
Russian
|
| Categories: |
Books
|
| LSN: |
3-03-128397-X |
| Barcode: |
9783031283970 |
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