Bohr's power series theorem in several variables Academic Article uri icon

abstract

  • Generalizing a classical one-variable theorem of 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/(3n). 1997 American Mathematical Society.

published proceedings

  • PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

altmetric score

  • 1

author list (cited authors)

  • Boas, H. P., & Khavinson, D.

citation count

  • 132

complete list of authors

  • Boas, HP||Khavinson, D

publication date

  • December 1997