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Positive metric currents and holomorphic chains in Hilbert spaces

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 $(k,k)-$rectifiable currents and solve the boundary problem for holomorphic chains.

preprint2012arXivOpen access
Samuele Mongodi
math.CV
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Samuele Mongodi

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