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

We prove that if f:ZdR is harmonic and there exists a polynomial W:ZdR 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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     author = {Piotr Nayar},
     title = {On Polynomially Bounded Harmonic Functions on the $Z^d$ Lattice},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {57},
     year = {2009},
     pages = {231-242},
     zbl = {1191.31007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-3-5}
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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/