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The non-Archimedean analogs of the Bochner-Kolmogorov, Minlos-Sazonov and Kakutani theorems

S. V. Ludkovsky
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Abstract

Measures on a non-Archimedean Banach space $X$ are considered with values in the real field $\bf R$ and in the non- Archimedean fields. The non-Archimedean analogs of the Bochner- Kolmogorov and Minlos-Sazonov theorems are given. Moreover, infinite products of measures are studied and the analog of the Kakutani theorem is investigated.

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S. V. Ludkovsky. 2000-10-25. The non-Archimedean analogs of the Bochner-Kolmogorov, Minlos-Sazonov and Kakutani theorems. https://arxiv.org/abs/math/0010230

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