89 citations · 1.1k across the 43 of their papers we have counts for
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math.NA2011★ 36 cited
Weighted eigenfunction estimates with applications to compressed sensing
Nicolas Burq, Semyon Dyatlov, Rachel Ward +1
Using tools from semiclassical analysis, we give weighted L^\infty estimates for eigenfunctions of strictly convex surfaces of revolution. These estimates give rise to new sampling…
math.SP2011★ 6 cited
Microlocal limits of Eisenstein functions away from the unitarity axis
Semyon Dyatlov
We consider a surface M with constant curvature cusp ends and its Eisenstein functions E_j(λ). These are the plane waves associated to the j-th cusp and the spectral parameter λ, (…
math.AP2011★ 78 cited
Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes
Semyon Dyatlov
We establish a Bohr-Sommerfeld type condition for quasi-normal modes of a slowly rotating Kerr-de Sitter black hole, providing their full asymptotic description in any strip of fix…