The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface
The goal of this note is to describe the action of pseudo-differential operators on the space of square integrable functions which are harmonic outside a smooth closed hyper-surface of a compact Riemannian manifold.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.626/ |
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| author | Boutet de Monvel, Louis Colin de Verdière, Yves |
| author_facet | Boutet de Monvel, Louis Colin de Verdière, Yves |
| author_sort | Boutet de Monvel, Louis |
| collection | DOAJ |
| description | The goal of this note is to describe the action of pseudo-differential operators on the space of square integrable functions which are harmonic outside a smooth closed hyper-surface of a compact Riemannian manifold. |
| format | Article |
| id | doaj-art-c2372a5cd6f34cb896241dbb6f84341e |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-c2372a5cd6f34cb896241dbb6f84341e2025-02-07T11:23:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G91037104110.5802/crmath.62610.5802/crmath.626The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surfaceBoutet de Monvel, LouisColin de Verdière, Yves0Institut Fourier, Unité mixte de recherche CNRS-UJF 5582, BP 74, 38402-Saint Martin d’Hères Cedex, FranceThe goal of this note is to describe the action of pseudo-differential operators on the space of square integrable functions which are harmonic outside a smooth closed hyper-surface of a compact Riemannian manifold.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.626/Pseudo-differential operatorsDirichlet-to-Neumann mapPoisson operator |
| spellingShingle | Boutet de Monvel, Louis Colin de Verdière, Yves The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface Comptes Rendus. Mathématique Pseudo-differential operators Dirichlet-to-Neumann map Poisson operator |
| title | The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface |
| title_full | The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface |
| title_fullStr | The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface |
| title_full_unstemmed | The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface |
| title_short | The action of pseudo-differential operators on functions harmonic outside a smooth hyper-surface |
| title_sort | action of pseudo differential operators on functions harmonic outside a smooth hyper surface |
| topic | Pseudo-differential operators Dirichlet-to-Neumann map Poisson operator |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.626/ |
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