Details
| Originalsprache | Englisch |
|---|---|
| Titel des Sammelwerks | Pseudo-Differential Operators and Generalized Functions |
| Seitenumfang | 19 |
| ISBN (elektronisch) | 978-3-319-14618-8 |
| Publikationsstatus | Veröffentlicht - 2015 |
Publikationsreihe
| Name | Operator Theory: Advances and Applications |
|---|---|
| Band | 245 |
| ISSN (Print) | 0255-0156 |
Abstract
We study a class of Fourier integral operators on compact manifolds with boundary X and Y, associated with a natural class of symplectomor-phisms χ: T∗Y \0 → T∗X \0, namely, those which preserve the boundary. A calculus of Boutet de Monvel’s type can be defined for such Fourier integral operators, and appropriate continuity properties established. One of the key features of this calculus is that the local representations of these operators are given by operator-valued symbols acting on Schwartz functions or temperate distributions. Here we focus on properties of the corresponding local phase functions, which allow to prove this result in a rather straightforward way.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
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Pseudo-Differential Operators and Generalized Functions. 2015. (Operator Theory: Advances and Applications; Band 245).
Publikation: Beitrag in Buch/Bericht/Sammelwerk/Konferenzband › Beitrag in Buch/Sammelwerk › Forschung › Peer-Review
}
TY - CHAP
T1 - A class of fourier integral operators on manifolds with boundary
AU - Battisti, Ubertino
AU - Coriasco, Sandro
AU - Schrohe, Elmar
N1 - Publisher Copyright: © 2015 Springer International Publishing Switzerland. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2015
Y1 - 2015
N2 - We study a class of Fourier integral operators on compact manifolds with boundary X and Y, associated with a natural class of symplectomor-phisms χ: T∗Y \0 → T∗X \0, namely, those which preserve the boundary. A calculus of Boutet de Monvel’s type can be defined for such Fourier integral operators, and appropriate continuity properties established. One of the key features of this calculus is that the local representations of these operators are given by operator-valued symbols acting on Schwartz functions or temperate distributions. Here we focus on properties of the corresponding local phase functions, which allow to prove this result in a rather straightforward way.
AB - We study a class of Fourier integral operators on compact manifolds with boundary X and Y, associated with a natural class of symplectomor-phisms χ: T∗Y \0 → T∗X \0, namely, those which preserve the boundary. A calculus of Boutet de Monvel’s type can be defined for such Fourier integral operators, and appropriate continuity properties established. One of the key features of this calculus is that the local representations of these operators are given by operator-valued symbols acting on Schwartz functions or temperate distributions. Here we focus on properties of the corresponding local phase functions, which allow to prove this result in a rather straightforward way.
KW - Boundary-pre-serving symplectomorphism
KW - Fourier integral operator
KW - Manifold with boundary
UR - http://www.scopus.com/inward/record.url?scp=84945446981&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-14618-8_1
DO - 10.1007/978-3-319-14618-8_1
M3 - Contribution to book/anthology
AN - SCOPUS:84945446981
SN - 978-3-319-14617-1
T3 - Operator Theory: Advances and Applications
BT - Pseudo-Differential Operators and Generalized Functions
ER -