We give some generalizations of the classical Hartogs-Rosenthal theorem, where every continuous function on a (complex) compact set with zero Lebesgue measure can be uniformly approximated by the restriction to K of functions that are holomorphic on a neighbourhood of K. We substitute to the space of holomorphic functions the solutions of a given overdetermined system.
Hartogs-Rosental theorem for overdetermined systems
BOITI, Chiara;
1994
Abstract
We give some generalizations of the classical Hartogs-Rosenthal theorem, where every continuous function on a (complex) compact set with zero Lebesgue measure can be uniformly approximated by the restriction to K of functions that are holomorphic on a neighbourhood of K. We substitute to the space of holomorphic functions the solutions of a given overdetermined system.File in questo prodotto:
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