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Short Communications

On Normal Distributions in $l_p$

N. N. Vahaniya

Tbilisi

Abstract: The note contains two theorems. The first theorem states that in $l_p$ a normal measure integrates any power of $\|x\|$. In the second one the general form of the characteristic functional of a normal measure in $l_p$ is found.

Received: 22.07.1964

 English version: Theory of Probability and its Applications, 1964, 9:4, 665

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