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math.AP2008
Inverse conductivity problem on Riemann surfaces
Gennadi Henkin, Vincent Michel
An electrical potential U on a bordered Riemann surface X with conductivity function sigma>0 satisfies equation d(sigma d^cU)=0. The problem of effective reconstruction of sigma is…
math.CV2008
Cauchy-Pompeiu type formulas for d-bar on affine algebraic Riemann surfaces and some applications
Gennadi Henkin
We have obtained the explicit versions and precisions for the Hodge-Riemann decomposition of formes on affine algebraic curve V. The main application consists in the construction o…