David A. Sher

activity

20122023

most citedThe Steklov spectrum of surfaces: asymptotics and invariants

27 citations · 142 across the 17 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.SP2013★ 27 cited

The Steklov spectrum of surfaces: asymptotics and invariants

Alexandre Girouard, Leonid Parnovski, Iosif Polterovich +1

We obtain precise asymptotics for the Steklov eigenvalues on a compact Riemannian surface with boundary. It is shown that the number of connected components of the boundary, as wel…

math.AP2013

Low energy resolvent for the Hodge Laplacian: Applications to Riesz transform, Sobolev estimates and analytic torsion

Colin Guillarmou, David A. Sher

On an asymptotically conic manifold $(M, g)$ , we analyze the asymptotics of the integral kernel of the resolvent $R_{q} (k) := (Δ_{q} + k^{2})^{- 1}$ of the Hodge Laplacian $Δ_{q}$ on $q$ -forms a…

math.SP2013★ 1 cited

Heat invariants of the Steklov problem

Iosif Polterovich, David A. Sher

We study the heat trace asymptotics associated with the Steklov eigenvalue problem on a Riemannian manifold with boundary. In particular, we describe the structure of the Steklov h…