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.
Mongodi, S. (2015). Positive metric currents and holomorphic chains in Hilbert spaces. REVISTA MATEMATICA IBEROAMERICANA, 31(4), 1231-1262 [10.4171/rmi/867].
Positive metric currents and holomorphic chains in Hilbert spaces
Mongodi S.
2015
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.
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