Multidimensional analogues of Bohr's theorem on power series

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dc.creatorAizenberg, Lev
dc.date1998-04-21
dc.date.accessioned2026-07-07T05:24:28Z
dc.date.available2026-07-07T05:24:28Z
dc.descriptionGeneralizing the classical result of Bohr, we show that if an n-variable power series converges in an n-circular bounded complete domain D and its sum has modulus less than 1, then the sum of the maximum of the moduli of the terms is less than 1 in the homothetic domain r*D, where r = 1 - (2/3)^(1/n). This constant is near to the best one for the domain D = {z: |z_1| + ... + |z_n| < 1}.
dc.description11 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9804102
dc.identifierhttp://arxiv.org/abs/math/9804102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76850
dc.subjectComplex Variables
dc.subject32A05
dc.titleMultidimensional analogues of Bohr's theorem on power series
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