Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Monthubert, Bertrand"'
Autor:
Pesonen, Henri, Waltz, Mitzi, Fabri, Marc, Syurina, Elena, Krückels, Sarah, Algner, Mona, Monthubert, Bertrand, Lorenz, Timo
Publikováno v:
Advances in Autism, 2021, Vol. 7, Issue 1, pp. 16-27.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/AIA-10-2019-0035
We give a cohomological formula for the index of a fully elliptic pseudodifferential operator on a manifold with boundary. As in the classic case of Atiyah-Singer, we use an embedding into an euclidean space to express the index as the integral of a
Externí odkaz:
http://arxiv.org/abs/1207.3514
Autor:
Monthubert, Bertrand, Nistor, Victor
We compute the $K$-theory of comparison $C^*$-algebra associated to a manifold with corners. These comparison algebras are an example of the abstract pseudodifferential algebras introduced by Connes and Moscovici \cite{M3}. Our calculation is obtaine
Externí odkaz:
http://arxiv.org/abs/1005.1718
In his book (II.5), Connes gives a proof of the Atiyah-Singer index theorem for closed manifolds by using deformation groupoids and appropiate actions of these on R^N. Following these ideas, we prove an index theorem for manifolds with boundary.
Externí odkaz:
http://arxiv.org/abs/0905.1420
Can Boutet de Monvel's algebra on a compact manifold with boundary be obtained as the algebra $\Psi^0(G)$ of pseudodifferential operators on some Lie groupoid $G$? If it could, the kernel ${\mathcal G}$ of the principal symbol homomorphism would be i
Externí odkaz:
http://arxiv.org/abs/math/0611336
Autor:
Monthubert, Bertrand, Nistor, Victor
Publikováno v:
Compositio Math. 148 (2012) 640-668
We define an analytic index and prove a topological index theorem for a non-compact manifold $M\_0$ with poly-cylindrical ends. We prove that an elliptic operator $P$ on $M\_0$ has an invertible perturbation $P+R$ by a lower order operator if an only
Externí odkaz:
http://arxiv.org/abs/math/0507601
We construct algebras of pseudodifferential operators on a continuous family groupoid G that are closed under holomorphic functional calculus, contain the algebra of all pseudodifferential operators of order 0 on G as a dense subalgebra, and reflect
Externí odkaz:
http://arxiv.org/abs/math/0112091
Autor:
Monthubert, Bertrand
We build a longitudinally smooth differentiable groupoid associated to any manifold with corners. The pseudodifferential calculus on this groupoid coincides with the pseudodifferential calculus of Melrose (also called b-calculus). We also define an a
Externí odkaz:
http://arxiv.org/abs/funct-an/9707008
Autor:
Monthubert, Bertrand
Publikováno v:
Proceedings of the American Mathematical Society, 1999 Oct 01. 127(10), 2871-2881.
Externí odkaz:
https://www.jstor.org/stable/119943
Publikováno v:
AI for Health 4th edition
AI for Health 4th edition, Nov 2021, Paris, France
AI for Health 4th edition, Nov 2021, Paris, France
International audience; Artificial Intelligence (AI) holds great promise for improving the delivery of healthcare and medicine worldwide, but only if ethics and human rights are put at the heart of its design, deployment, and use, according to new WH
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::ace1c59261d4237002d4bbce81c51b31
https://hal.archives-ouvertes.fr/hal-03457237
https://hal.archives-ouvertes.fr/hal-03457237