8 citations · 36 across the 32 of their papers we have counts for
6 papers · 1 filter
Residue currents of holomorphic morphisms
Mats Andersson
Given a generically surjective holomorphic vector bundle morphism , and Hermitian bundles, we construct a current with values in $\Hom(Q,H)$, where $H…
Integral representation with weights II, division and interpolation
Mats Andersson
Let be a -matrix of holomorphic functions that is generically surjective. We provide explicit integral representation of holomorphic such that , provided t…
Residue currents with prescribed annihilator ideals
Mats Andersson, Elizabeth Wulcan
Given a coherent ideal sheaf we construct locally a vector-valued residue current whose annihilator is precisely the given sheaf. In case is a complete intersection, $R…
The membership problem for polynomial ideals in terms of residue currents
Mats Andersson
We find a relation between the vanishing of a globally defined residue current on and solution of the membership problem with control of the polynomial degrees. Several class…
Operators with smooth functional calculi
Mats Andersson, Håkan Samuelsson, Sebastian Sandberg
We introduce a class of (tuples of commuting) unbounded operators on a Banach space, admitting smooth functional calculi, that contains all operators of Helffer-Sjöstrand type and…
Explicit versions of the Briançon-Skoda theorem with variations
Mats Andersson
We give new a proof of the general Briançon-Skoda theorem about ideals of holomorphic functions by means of multivariable residue calculus. The method gives new variants of this th…