Bohr's power series theorem in several variables
Abstract
Generalizing a classical onevariable theorem of Harald Bohr, we show that if an nvariable 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}).
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 1996
 DOI:
 10.48550/arXiv.math/9606203
 arXiv:
 arXiv:math/9606203
 Bibcode:
 1996math......6203B
 Keywords:

 Mathematics  Complex Variables;
 32