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math.CV2012
Application of metric currents to complex analysis
Samuele Mongodi
In 2000, Ambrosio and Kirchheim, with the paper "Currents in metric spaces", settled the foundations of a theory of currents on metric spaces and used it to pose and solve Plateau'…
math.CV2012
Positive metric currents and holomorphic chains in Hilbert spaces
Samuele Mongodi
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 t…