RMC - Vol. 3, Num. 2, 3 - Roberto Luiz Soraggi

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

Roberto Luiz SORAGGI

Departamento de Matemática Pura
Universidad Federal
Rio de Janeiro — Brazil

Received: January 15, 1990

ABSTRACT

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 $(0,2)$ -form on a D.F.N. space can be solved by using the solution of the $@$ -problem for a holomorphic $(0,2)$ -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.