Integral representation formulas for differential forms on complex manifolds and applications to the 327-01327-01327-01-equation

Summary An explicit Koppelman-Leray-Norguet type integral formula for differential forms is derived on generalized analytic polyhedra on complex manifolds which arise as analytic subvarieties of domains ofC ⁿ. Using this formula we give an explicit solution operator to the -equation on strictly pseudoconvex polyhedra in that setting and we prove that this solution operator admits uniform estimates.