Submission date: 15 March 2013.

Abstract:

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)

Keywords and phrases:

Full text arXiv 1303.3724: pdf, ps.