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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.


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