31 citations · 156 across the 44 of their papers we have counts for
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Restriction and spectral multiplier theorems on asymptotically conic manifolds
Colin Guillarmou, Andrew Hassell, Adam Sikora
The classical Stein-Tomas restriction theorem is equivalent to the statement that the spectral measure of the square root of the Laplacian on $\RR^n$ is bounded from $L^p(\…
Resolvent at low energy III: the spectral measure
Colin Guillarmou, Andrew Hassell, Adam Sikora
Let be a complete noncompact manifold and an asymptotically conic Riemaniann metric on , in the sense that compactifies to a manifold with boundary…
Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues
A. H. Barnett, Andrew Hassell
We study eigenfunctions and eigenvalues of the Dirichlet Laplacian on a bounded domain $Ω\subset\RR^n$ with piecewise smooth boundary. We bound the distance between an arbitrary pa…
Semiclassical L^p Estimates of Quasimodes on Curved Hypersurfaces
Andrew Hassell, Melissa Tacy
Let M be a compact manifold of dimension n, P = P(h) a semiclassical pseudodifferential operator on M, and u = u(h) an L^2 normalised family of functions such that Pu is O(h) in L^…