Inverse conductivity problem on a Riemann surface

Fuente: arXiv
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Autore principale: Polyakov, Peter L.
Natura: Preprint
Pubblicazione: 2025
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author Polyakov, Peter L.
author_facet Polyakov, Peter L.
contents 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].
format Preprint
id arxiv_https___arxiv_org_abs_2506_23362
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Inverse conductivity problem on a Riemann surface
Polyakov, Peter L.
Complex Variables
14C30, 32S35, 32C30
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].
title Inverse conductivity problem on a Riemann surface
topic Complex Variables
14C30, 32S35, 32C30
url https://arxiv.org/abs/2506.23362