Bohr’s power series theorem in several variables
Bohr’s power series theorem in several variables
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DOI：
10.1090/s0002-9939-97-04270-6
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发表时间：
1996-06
期刊：
影响因子：
--
通讯作者：
H. Boas;D. Khavinson
中科院分区：
文献类型：
--
作者：
H. Boas;D. Khavinson
推广了Harald Bohr的一个经典单变量定理，证明了如果一个n元幂级数在单位多圆盘上的模小于1，则项的模之和在半径为1/(3*n^{1/2})的多圆盘上小于1.
Generalizing a classical one-variable theorem of Harald Bohr, we show that if an n-variable power series has modulus less than 1 in the unit polydisc, then the sum of the moduli of the terms is less than 1 in the polydisc of radius 1/(3*n^{1/2}).