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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Bibliographic Details
Main Authors: Boutet de Monvel, Louis, Colin de Verdière, Yves
Format: Article
Language:English
Published: Académie des sciences 2024-11-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.626/
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