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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
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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