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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Differentiation theorem for Gaussian measures on Hilbert space


Author: Jaroslav Tišer
Journal: Trans. Amer. Math. Soc. 308 (1988), 655-666
MSC: Primary 28C20; Secondary 28A15, 46G12
DOI: https://doi.org/10.1090/S0002-9947-1988-0951621-8
MathSciNet review: 951621
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Abstract: It is shown that the differentiation theorem is valid in infinitely dimensional Hilbert space with certain Gaussian measures. The proof uses result from harmonic analysis concerning the behavior of Hardy-Littlewood maximal operator in highly dimensional space.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1988-0951621-8
Keywords: Derivation, Gaussian measure, maximal operator
Article copyright: © Copyright 1988 American Mathematical Society