3 papers
math.CV2010
Weighted 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…
math.CV2006
The residue current of a codimension three complete intersection
Håkan Samuelsson
Let , , and be holomorphic functions on a complex manifold and assume that the common zero set of the has maximal codimension, i.e., that it is a complete int…
math.CV2005
Regularizations of products of residue and principal value currents
Håkan Samuelsson
We prove that the Coleff-Herrera residue current, corresponding to a pair of holomorphic functions defining a complete intersection, can be obtained as the unrestricted weak limit…