Skip to main content
2 of 2
edited body
Qfwfq
  • 23.3k
  • 14
  • 122
  • 225

The average of a nonconstant homogeneous harmonic polynomial over the unit sphere (with the center at the origin) is zero and so it cannot be positive everywhere on $S$.

Andrew
  • 2.7k
  • 1
  • 21
  • 26