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Journal of the London Mathematical Society 1986 s2-33(1):169-179; doi:10.1112/jlms/s2-33.1.169
© 1986 by London Mathematical Society
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© Oxford University Press

New Generalized Functions and C{infty} Functions with Values in Generalized Complex Numbers

H. A. Biagioni and J. F. Colombeau

Department of Mathematics, Universidade Estadual de Campinas C.E.P. 13.100-Campinas, Brazil
UER de Mathématiques et d-Informatique, Université de Bordeaux I 33405-Talence, France

We interpret the new generalized functions introduced by the second author as C{infty} functions with values in quotient spaces using Waelbroeck's recent theory of analysis in quotient spaces. In a particular case we obtain a more classical interpretation. These results also hold in the holomorphic case.


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