Positive metric currents and holomorphic chains in Hilbert spaces

• Samuele Mongodi ^[1]
  1. [1] Università di Roma 'Tor Vergata'
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 31, Nº 4, 2015, págs. 1231-1262
• Idioma: inglés
• DOI: 10.4171/RMI/867
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• Resumen

  • 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.