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On the growth of ridge functions non-vanishing in an angular domain

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Title On the growth of ridge functions non-vanishing in an angular domain
 
Creator Vishnyakova, A.M.
 
Subject Mathematical analysis
 
Description For an entire ridge function of finite order $\rho$ which is non-vanishing
in the angle $\{z : |\arg z - \pi/2| < \alpha \} \cup \{z : |argz + \pi/2| < \alpha \}$, $0 < \alpha \le \pi/2$, the sharp estimate of $\rho $ in terms of $\alpha $ is obtained. Analogous result is obtained for ridge functions analytic in the upper half-plane.
 
Date 2013-05-21T11:44:58Z
2013-05-21T11:44:58Z
1997
 
Type Article
 
Identifier Bull. Hong Kong Math. Soc., 1, No. 2, 351-361 (1997).
http://dspace.univer.kharkov.ua/handle/123456789/8530
 
Language en