Piotr Nayar. "On Polynomially Bounded Harmonic Functions on the $Z^d$ Lattice." Bulletin of the Polish Academy of Sciences. Mathematics 57.3 (2009): 231-242. <http://eudml.org/doc/281127>.
@article{PiotrNayar2009, abstract = {We prove that if $f: Z^d → R$ is harmonic and there exists a polynomial $W: Z^d → R$ such that f + W is nonnegative, then f is a polynomial.}, author = {Piotr Nayar}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, keywords = {harmonic function on a lattice; polynomially bounded harmonic function}, language = {eng}, number = {3}, pages = {231-242}, title = {On Polynomially Bounded Harmonic Functions on the $Z^d$ Lattice}, url = {http://eudml.org/doc/281127}, volume = {57}, year = {2009}, }
TY - JOUR AU - Piotr Nayar TI - On Polynomially Bounded Harmonic Functions on the $Z^d$ Lattice JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2009 VL - 57 IS - 3 SP - 231 EP - 242 AB - We prove that if $f: Z^d → R$ is harmonic and there exists a polynomial $W: Z^d → R$ such that f + W is nonnegative, then f is a polynomial. LA - eng KW - harmonic function on a lattice; polynomially bounded harmonic function UR - http://eudml.org/doc/281127 ER -