On Polynomially Bounded Harmonic Functions on the $Z^d$ Lattice

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 -