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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 1, Pages 96–113
(Mi tvp795)
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On verifiable functions
V. P. Palamodov Moscow
Abstract:
The Linnik concept of verifiable functions is investigated in the case of normal distribution $N(\xi,\sigma^2)$. The question of verifiability of some analytic function $f$ is reduced by a method of complexification to that of its $C$-verifiability. A function $f(\xi,\sigma^2)$ is called $C$-verifiable if there exists a non-constant critical function $\varphi$ with power depending on complex $\xi$ and $\sigma^2$ ($\operatorname{Re}\sigma^2$) only through $f$. The paper also contains some necessary conditions for $f$ to be $C$-verifiable or verifiable in the Linnik sense.
Received: 18.01.1967
Citation:
V. P. Palamodov, “On verifiable functions”, Teor. Veroyatnost. i Primenen., 13:1 (1968), 96–113
Linking options:
https://www.mathnet.ru/eng/tvp795 https://www.mathnet.ru/eng/tvp/v13/i1/p96
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Abstract page: | 167 | Full-text PDF : | 84 |
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