4 citations · 6 across the 13 of their papers we have counts for
5 papers · 1 filter
Metric-uniform spectral inequality for the Laplacian on manifolds with bounded sectional curvature
Alix Deleporte, Jean Lagacé, Marc Rouveyrol
Given a Riemannian manifold endowed with a smooth metric satisfying upper and lower sectional curvature bounds, we show an equivalence property between the n…
Spectral estimates on hyperbolic surfaces and a necessary condition for observability of the heat semigroup on manifolds
Alix Deleporte, Marc Rouveyrol
This article is a continuation of arXiv:2401.14977. We study the concentration properties of spectral projectors on manifolds, in connection with the uncertainty principle. In arXi…
A direct approach to the analytic Bergman projection
Alix Deleporte, Michael Hitrik, Johannes Sjoestrand
We develop a direct approach to the semiclassical asymptotics for Bergman projections in exponentially weighted spaces of holomorphic functions, with real analytic strictly plurisu…
WKB eigenmode construction for analytic Toeplitz operators
Alix Deleporte
We provide almost eigenfunctions for Toeplitz operators with real-analytic symbols, at the bottom of non-degenerate wells. These almost eigenfunctions follow the WKB ansatz; the er…
The Bergman kernel in constant curvature
Alix Deleporte
We present an elementary proof for an approximate expression of the Bergman kernel on homogeneous spaces, and products of them. The error term is exponentially small with respect t…