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arXiv · 2301.02187

Growth of Log-Analytic Functions

Tobias Kaiser
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Abstract

We show that unary log-analytic functions are polynomially bounded. In the higher dimensional case globally a log-analytic function can have exponential growth. We show that a log-analytic function is polynomially bounded on a definable set which contains the germ of every ray at infinity.

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Tobias Kaiser. 2023-01-03. Growth of Log-Analytic Functions. https://arxiv.org/abs/2301.02187

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