12 citations · 37 across the 11 of their papers we have counts for
12 papers
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.
Explicit Hodge-type decomposition on projective complete intersections
Gennadi M. Henkin, Peter L. Polyakov
We construct an explicit homotopy formula for the d-bar complex on a complete intersection subvariety V in CP^n. This formula can be interpreted as a Hodge-type decomposition for r…
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…
Gel'fand-Calderón's inverse problem for anisotropic conductivities on bordered surfaces in
Gennadi Henkin, Matteo Santacesaria
Let be a smooth bordered surface in with smooth boundary and a smooth anisotropic conductivity on . If the genus of is given, then starting from the D…