21 citations · 39 across the 9 of their papers we have counts for
9 papers
Uniform algebras and approximation on manifolds
Håkan Samuelsson, Erlend Fornæss Wold
Let be a bounded domain and let be a uniform algebra generated by a set of holomorphic and pluriharmonic functi…
A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
Mats Andersson, Håkan Samuelsson
Let be a complex space of pure dimension. We introduce fine sheaves $\A^X_q$ of -currents, which coincides with the sheaves of smooth forms on the regular part of , s…
Koppelman formulas on flag manifolds
Håkan Samuelsson, Henrik Seppänen
We construct Koppelman formulas on manifolds of flags in $\C^N$ for forms with values in any holomorphic line bundle as well as in the tautological vector bundles and their duals.…
Regularizations of residue currents
Jan-Erik Björk, Håkan Samuelsson
Under assumptions about complete intersection, we prove that Coleff-Herrera type currents satisfy a robust calculus in the sense that natural regularizations of such currents can b…
On the Briancon-Skoda theorem on a singular variety
Mats Andersson, Håkan Samuelsson, Jacob Sznajdman
Let be a germ of a reduced analytic space of pure dimension. We provide an analytic proof of the uniform Briancon-Skoda theorem for the local ring ; a result whi…
Koppelman formulas and the $\dbar$-equation on an analytic space
Mats Andersson, Håkan Samuelsson
Let be an analytic space of pure dimension. We introduce a formalism to generate intrinsic weighted Koppelman formulas on that provide solutions to the $\dbar$-equation. We…