Positive metric currents and holomorphic chains in Hilbert spaces
Complex Variables
2012-11-16 v3
Abstract
We present some results concerning currents of integration on finite-dimensional analytic spaces in Hilbert spaces, using the setting of metric currents. In particular, we obtain the characterization of such currents as positive closed rectifiable currents and solve the boundary problem for holomorphic chains.
Keywords
Cite
@article{arxiv.1207.5244,
title = {Positive metric currents and holomorphic chains in Hilbert spaces},
author = {Samuele Mongodi},
journal= {arXiv preprint arXiv:1207.5244},
year = {2012}
}