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Preprint Number 568

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568. Jean-Philippe Rolin, Tamara Servi
Quantifier Elimination and Rectilinearisation Theorem for Generalised Quasianalytic Algebras

Submission date: 15 March 2013.


An algebra of germs of real functions is generalised quasianalytic if to each element of the algebra we can associate, injectively, a power series with nonnegative real exponents. We prove a quantifier elimination and a rectilinearisation result for generalised quasianalytic algebras.

Mathematics Subject Classification: 30D60, 14P15, 03C64 (primary), 32S45 (secondary)

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Full text arXiv 1303.3724: pdf, ps.

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