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math.AP2026
Stationary phase with Cauchy singularity. A critical point of signature
Christian Klein, Johannes Sjöstrand, Maher Zerzeri
Asymptotic expressions for an integral appearing in the solution of a d-bar problem are presented. The integral is a solid Cauchy transform of a function with a rapidly oscillating…
math.AP2020
Large behavior of complex geometric optics solutions to d-bar problems
C. Klein, J. Sjöstrand, N. Stoilov
Complex geometric optics solutions to a system of d-bar equations appearing in the context of electrical impedance tomography and the scattering theory of the integrable Davey-Stew…
math.AP2011★ 5 cited
Weyl law for semi-classical resonances with randomly perturbed potentials
Johannes Sjoestrand
In this work we consider semi-classical Schrödinger operators with potentials supported in a bounded strictly convex subset of with smooth boundary. Letting…