1993-06-01
Holomorphy in convergence spaces
Publication
Publication
Applied Categorical Structures , Volume 1 - Issue 2 p. 233- 245
We introduce a new approach to infinite dimensional holomorphy. Cast in the setting of closed-embedded linear convergence spaces and based on a categorical definition of derivative, our theory applies beyond the traditional open domains. It reaches certain domains with empty interior (that arise naturally in Fréchet spaces) and gives a fully fledged differential calculus. On open domains our approach provides a new characterization of holomorphic maps. Thus earlier theories become expanded as well as strengthened.
Additional Metadata | |
---|---|
, , , , , | |
doi.org/10.1007/BF00880045 | |
Applied Categorical Structures | |
Organisation | School of Mathematics and Statistics |
Monadi, A., & Nel, L. (1993). Holomorphy in convergence spaces. Applied Categorical Structures, 1(2), 233–245. doi:10.1007/BF00880045
|