Publikation: Valuation theory of exponential Hardy fields I
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2003
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Kuhlmann, Franz-Viktor
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Mathematische Zeitschrift. 2003, 243(4), pp. 671-688. ISSN 0025-5874. Available under: doi: 10.1007/s00209-002-0460-4
Zusammenfassung
We describe the valuation theoretic properties of the Hardy fields associated to models of , where T is the theory of a polynomially bounded o-minimal expansion of the reals and is the real exponential function. We deduce that has levels with parameters and is exponentially bounded. We establish a maximality property of , the Hardy field of the expansion by the restricted analytic functions and power functions.
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510 Mathematik
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KUHLMANN, Franz-Viktor, Salma KUHLMANN, 2003. Valuation theory of exponential Hardy fields I. In: Mathematische Zeitschrift. 2003, 243(4), pp. 671-688. ISSN 0025-5874. Available under: doi: 10.1007/s00209-002-0460-4BibTex
@article{Kuhlmann2003Valua-622, year={2003}, doi={10.1007/s00209-002-0460-4}, title={Valuation theory of exponential Hardy fields I}, number={4}, volume={243}, issn={0025-5874}, journal={Mathematische Zeitschrift}, pages={671--688}, author={Kuhlmann, Franz-Viktor and Kuhlmann, Salma} }
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