Bohr's power series theorem in several variables

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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}).

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Complex Variables, 32

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http://salesiana.dossiersoluciones.com/handle/123456789/153053

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9606203
 http://arxiv.org/abs/math/9606203

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arXiv