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)-integer rectifiable currents and solve the boundary problem for holomorphic chains.
Positive metric currents and holomorphic chains in Hilbert spaces
MONGODI, SAMUELE
2015-01-01
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 (k, k)-integer rectifiable currents and solve the boundary problem for holomorphic chains.File in questo prodotto:
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