Inverse conductivity problem on a Riemann surface

2025/06/29 by Peter L. Polyakov, Polyakov, Peter L.
Mathematics · #14C30 #32C30 #32S35 #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2506.23362

openalex publication_date 2025/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an application of the Faddeev-Henkin exponential ansatz and of the d-to-d-bar map on the boundary to inverse conductivity problem on a bordered Riemann surface in CP2. In our approach we use integral formulas for operator d-bar developed in [HP1]-[HP4] and integral formulas for holomorphic functions on Riemann surfaces from [P].

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