Classes of Functions definable in R_{an,exp}

28.04.2022 15:00 - 15:45

T. Kaiser (U Passau, DE)

There is a strong dividing line for functions definable in the o-minimal structure \(\mathbb{R}_{an,exp}\), the expansion of the real field by restricted analytic functions and the exponential function. This dividing line originates from the latter. We consider respectively define natural intermediate classes of functions as log-analytic or so-called restricted log-exp-analytic functions to focus on this dividing line. We discuss various analytic properties for these classes. The key tool is given by preparation results. (Joint work with Andre Opris)




HS 13, 2. OG., OMP 1