Geodesic
On the asymptotic properties of functions holomorphic in tubular cones
Sbornik. Mathematics, Tome 64 (1989) no. 1, pp. 97-113

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For functions holomorphic in tube domains over a cone, the author studies the connection between their asymptotic behavior at the origin along orbits of one-parameter groups of linear transformations and asymptotic properties of the real parts of the boundary values of these functions. It is shown that, as a rule, the presence of certain asymptotics of the real part of a boundary value of a holomorphic function guarantees similar asymptotics for the whole function within the domain. Bibliography: 6 titles. 
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     author = {B. I. Zavialov},
     title = {On the asymptotic properties of functions holomorphic in tubular cones},
     journal = {Sbornik. Mathematics},
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     year = {1989},
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     url = {http://geodesic.mathdoc.fr/item/SM_1989_64_1_a5/}
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B. I. Zavialov. On the asymptotic properties of functions holomorphic in tubular cones. Sbornik. Mathematics, Tome 64 (1989) no. 1, pp. 97-113. http://geodesic.mathdoc.fr/item/SM_1989_64_1_a5/