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On the Behaviour at Infinity of Superharmonic Functions

✍ Scribed by Mizuta, Y.

Book ID
120095268
Publisher
Oxford University Press
Year
1983
Tongue
English
Weight
140 KB
Volume
s2-27
Category
Article
ISSN
0024-6107

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On analytic equivalence of functions at
On analytic equivalence of functions at infinity
✍ Grzegorz Skalski πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 French βš– 143 KB

In this paper we define the relation of analytic equivalence of functions at infinity. We prove that if the Łojasiewicz exponent at infinity of the gradient of a polynomial f ∈ R[x 1 , . . . , x n ] is greater or equal to k -1, then there exists Ρ > 0 such that for every polynomial P ∈ R[x 1 , . . .