12 citations · 37 across the 11 of their papers we have counts for
6 papers · 1 filter
Explicit Hodge decomposition on Riemann surfaces
Gennadi M. Henkin, Peter L. Polyakov
We present a construction of the explicit Hodge decomposition for -equation on Riemann surfaces.
Inverse Dirichlet to Neumann problem for nodal curves
Gennadi Henkin, Vincent Michel
This paper proposes direct and inverse results for the Dirichlet and Dirichlet to Neumann problems for complex curves with nodal type singularities. As an application, we give a me…
Inversion formulas for complex Radon transform on projective varieties and boundary value problems for systems of linear PDE
Gennadi M. Henkin, Peter L. Polyakov
Let $G\subset \C P^n$ be a linearly convex compact with smooth boundary, $D={\C}P^n\setminus G$, and let $D^* \subset (\C P^n)^*$ be the dual domain. Then for an algebraic, not nec…
Residual d-bar-cohomology and the complex Radon transform on subvarieties of CPn
Gennadi M. Henkin, Peter L. Polyakov
We show that the complex Radon transform realizes an isomorphism between the space of residual -cohomologies of a locally complete intersection subvariety in a linear…
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…
On the explicit reconstruction of a Riemann surface from its Dirichlet-Neumann operator
Gennadi Henkin, Vincent Michel
This article gives a complex analysis lighting on the problem which consists in restoring a bordered connected riemaniann surface from its boundary and its Dirichlet-Neumann operat…