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19972013
most citedSelberg's zeta function and the spectral geometry of geometrically finite hyperbolic surfaces

2 citations · 3 across the 4 of their papers we have counts for

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math.SP2013

Upper bounds for the number of resonances on geometrically finite hyperbolic manifolds

David Borthwick, Colin Guillarmou

On geometrically finite hyperbolic manifolds , including those with non-maximal rank cusps, we give upper bounds on the number of resonances of the Laplac…

math.SP2013

Resonance asymptotics for Schrodinger operators on hyperbolic space

David Borthwick, Catherine Crompton

We study the asymptotic distribution of resonances for scattering by compactly supported potentials in hyperbolic space. We first establish an upper bound for the resonance countin…