A note on the path holomorphy of random functions holomorphic in mean
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- by F. Martinez and A. R. Villena PDF
- Proc. Amer. Math. Soc. 125 (1997), 1751-1754 Request permission
Abstract:
Every random function holomorphic in mean on an open subset of the complex field is equivalent to a random function with almost all its paths holomorphic on $D$.References
- Saunders MacLane and O. F. G. Schilling, Infinite number fields with Noether ideal theories, Amer. J. Math. 61 (1939), 771–782. MR 19, DOI 10.2307/2371335
- C. M. Marle, Measures et probabilités, Hermann, Paris, 1974.
Additional Information
- F. Martinez
- Affiliation: Departamento de Estadística e I. O., Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
- A. R. Villena
- Affiliation: Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain
- Email: avillena@goliat.ugr.es
- Received by editor(s): December 11, 1995
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1751-1754
- MSC (1991): Primary 30G30, 60G17
- DOI: https://doi.org/10.1090/S0002-9939-97-03813-6
- MathSciNet review: 1376999