On Polynomially Bounded Harmonic Functions on the Lattice
Tom 57 / 2009
Bulletin Polish Acad. Sci. Math. 57 (2009), 231-242
MSC: Primary 31C05; Secondary 60G50.
DOI: 10.4064/ba57-3-5
Streszczenie
We prove that if f:{\bf Z}^d \to {\bf R} is harmonic and there exists a polynomial W:{\bf Z}^d \to {\bf R} such that f+W is nonnegative, then f is a polynomial.
