Resumen de Global Representatives of Colombeau Holomorphic Generalized Functions

Michael Oberguggenberger, Stevan Pilipovic, V Valmorin

• It is proved that a holomorphic generalized function in the sense of Colombeau has a representative consisting of a net of holomorphic functions. More generally, the existence of global representatives of Colombeau solutions to elliptic partial differential equations is proved. Further, it is shown that a generalized holomorphic function on O, which is equal to zero in an open set , is equal to zero.