27 citations · 117 across the 15 of their papers we have counts for
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math.DG2017★ 16 cited
Determining a Riemannian Metric from Minimal Areas
Spyros Alexakis, Tracey Balehowsky, Adrian Nachman
We prove that if is a topological 3-ball with a -smooth Riemannian metric , and mean-convex boundary then knowledge of least areas circumscribed by sim…
math.AP2017★ 4 cited
A Nonlinear Plancherel Theorem with Applications to Global Well-Posedness for the Defocusing Davey-Stewartson Equation and to the Inverse Boundary Value Problem of Calderón
Adrian I. Nachman, Idan Regev, Daniel I. Tataru
We prove a Plancherel theorem for a nonlinear Fourier transform in two dimensions arising in the Inverse Scattering method for the defocusing Davey-Stewartson II equation. We then…