64 citations
- Département de mathématiques et applicationsFR18 papers
- École Normale Supérieure - PSLFR16 papers
- Université Paris Sciences et LettresFR8 papers
- Laboratoire de Mathématiques d'OrsayFR6 papers
- Centre National de la Recherche ScientifiqueFR3 papers
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- Centre de Mathématiques Appliquées de l'École polytechniqueFR2 papers
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- Sorbonne UniversitéFR2 papers
- Cancer et génome: Bioinformatique, biostatistiques et épidémiologie des systèmes complexes1 paper
- Copenhagen Institute for Futures StudiesDK1 paper
- Cornell UniversityUS1 paper
4 papers · 1 filter
Spectral summability for the quartic oscillator with applications to the Engel group
Hajer Bahouri, Davide Barilari, Isabelle Gallagher +1
In this article, we investigate spectral properties of the sublaplacian on the Engel group, which is the main example of a Carnot group of step 3. We develop a new approac…
Application of Perron Trees to Geometric Maximal Operators
Anthony Gauvan
We characterize the boundeness of the geometric maximal operator associated to the basis () which is composed of rectangl…
Restricting directions for Kakeya sets
Anthony Gauvan
We prove that the Kakeya maximal conjecture is equivalent to the -Kakeya maximal conjecture. This completes a recent result in [2] where Keleti and Math{é} proved that the Kakey…
Kakeya-type sets for Geometric Maximal Operators
Anthony Gauvan
Given a family G of rectangles, to which one associates a tree [G], one defines a natural number [G] called its analytic split and satisfying, for all 1 < p < log(…