4 papers
Restriction problems on the three-dimensional Heisenberg nilmanifold
Hajer Bahouri, Veronique Fischer
In this paper, we prove a spectral restriction theorem on the three-dimensional Heisenberg nilmanifold. Since this manifold is an -bundle over the flat torus $\mathbb…
Some geometric and spectral aspects of restriction problems
Hajer Bahouri, Veronique Fischer
This texts commemorates the memory of Haim Brezis and explores some aspects of the restriction problem, particularly its connections to spectral and geometric analysis. Our choice…
Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds
Véronique Fischer, Søren Mikkelsen
In this paper, we show that the semiclassical calculus recently developed on nilpotent Lie groups and nilmanifolds include the functional calculus of suitable subelliptic operators…
Subcomplexes on filtered Riemannian manifolds
Veronique Fischer, Francesca Tripaldi
In this paper, we present a general construction to extract subcomplexes from two distinct complexes on filtered Riemannian manifolds. The first subcomplex computes the de Rham coh…