On Polynomially Bounded Harmonic Functions on the Zd Lattice
Piotr Nayar
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009), p. 231-242 / Harvested from The Polish Digital Mathematics Library
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We prove that if f:Zd→R is harmonic and there exists a polynomial W:Zd→R such that f + W is nonnegative, then f is a polynomial.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:281127 
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     title = {On Polynomially Bounded Harmonic Functions on the $Z^d$ Lattice},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
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     year = {2009},
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Piotr Nayar. On Polynomially Bounded Harmonic Functions on the $Z^d$ Lattice. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 231-242. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-3-5/