Geodesic
On Polynomially Bounded Harmonic Functions on the ${\bf Z}^d$ Lattice
Piotr Nayar1
1 Institute of Mathematics University of Warsaw 02-097 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 3, pp. 231-242.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba57-3-5
Keywords: prove harmonic there exists polynomial nonnegative polynomial

Piotr Nayar 1

1 Institute of Mathematics University of Warsaw 02-097 Warszawa, Poland 
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Piotr Nayar. On Polynomially Bounded Harmonic Functions  on the ${\bf Z}^d$ Lattice. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 3, pp. 231-242. doi : 10.4064/ba57-3-5. http://geodesic.mathdoc.fr/articles/10.4064/ba57-3-5/

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