Distribution of zeroes of Rademacher Taylor series
نویسندگان
چکیده
منابع مشابه
The Distribution of Non-Commutative Rademacher Series
We give a formula for the tail of the distribution of the noncommutative Rademacher series, which generalizes the result that is already available in the commutative case. As a result, we are able to calculate the norm of these series in many rearrangement invariant spaces, generalizing work of Pisier and Rodin and Semyonov.
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Let X = P εnxn be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable ||X|| in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given.
متن کامل1 99 9 the Distribution of Vector - Valued Rademacher Series
Let X = ε n x n be a Rademacher series with vector-valued coefficients. We obtain an approximate formula for the distribution of the random variable ||X|| in terms of its mean and a certain quantity derived from the K-functional of interpolation theory. Several applications of the formula are given. In [6] the second-named author calculated the distribution of a scalar Rademacher series ε n a n...
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2016
ISSN: 0240-2963,2258-7519
DOI: 10.5802/afst.1510