Abstract
This work studies finite rank Hankel operators Hb on a Hilbert space of holomorphic, square integrable Wiener functionals. The main tool to investigate these operators is their unitary equivalent representation on the Hilbert space of skeletons. The finite rank property is characterized in terms of a functional equation for the symbol b, which generalizes the well known equation b(z+w)=b(z)b(w). Also finite rank symbols of polynomial type are characterized in terms of their chaos expansions.
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