Bernstein-Type Theorems and Uniqueness Theorems

• Published in: Український математичний журнал
• Date: 2004
• ISSN: 1027-3190
• Main Authors: Logvinenko, V., Nazarova, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/163542
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Bernstein-Type Theorems and Uniqueness Theorems / V. Logvinenko, N. Nazarova // Український математичний журнал. — 2004. — Т. 56, № 2. — С. 198–213. — Бібліогр.: 20 назв. — англ.

Let f be an entire function of finite type with respect to finite order ρ in Cⁿ and let E be a subset of an open cone in a certain n-dimensional subspace R²ⁿ ( = Cⁿ) (the smaller ρ , the sparser E ). We assume that this cone contains a ray {z = tz⁰ ∈ Cn: t > 0} . It is shown that the radial indic...