Full paper in PDF:
$% R. L. Soraggi, The Cauchy-Riemann operator in infinite dimensional spaces,
Rev. Mat. Univ. Complut. Madrid 3 (1990), no. 2, 3, 143–150.%$
The Cauchy-Riemann Operator in Infinite Dimensional Spaces
In this survey article we present a sketch of the techniques which allowed to
advance into the problem of solving the
-problem in infinite dimensional
spaces. As an example we show how the
-problem for a holomorphic
-form on a D.F.N. space can be solved by using the solution of the
-problem for a holomorphic
-form on a separable Hilbert space. For
further details we refer to Soraggi (to appear).
1980 Mathematics Subject Classification (1985 revision): 46G20, 47F05, 28C20, 47B10, 46G05, 35N15.