Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A note on the path holomorphy of random functions holomorphic in mean

Author(s): F. Martinez; A. R. Villena
Journal: Proc. Amer. Math. Soc. 125 (1997), 1751-1754.
MSC (1991): Primary 30G30, 60G17
MathSciNet review: 1376999
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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:

1.: E. Hille and R. S. Phillips, Functional analysis and semigroups, Amer. Math. Soc. Coll. 31, Providence, 1957. MR 19:664d
2.: C. M. Marle, Measures et probabilités, Hermann, Paris, 1974.

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