5 citations · 15 across the 8 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math.LO2018
Ilyashenko algebras based on transserial asymptotic expansions
Zeinab Galal, Tobias Kaiser, Patrick Speissegger
We construct a Hardy field that contains Ilyashenko's class of germs at infinity of almost regular functions as well as all log-exp-analytic germs. In addition, each germ in this H…
math.LO2018
Logarithms, constructible functions and integration on non-archimedean models of the theory of the real field with restricted analytic functions with value group of finite archimedean rank
Tobias Kaiser
Given a model of the theory of the real field with restricted analytic functions such that its value group has finite archimedean rank we show how one can extend the restricted log…