7 citations · 16 across the 9 of their papers we have counts for
12 papers
Transasymptotic expansions of o-minimal germs
Jean-Philippe Rolin, Tamara Servi, Patrick Speissegger
Given an o-minimal expansion of the real ordered field, generated by a generalized quasianalytic class , we construct an explicit truncation…
Mellin transforms of power-constructible functions
Raf Cluckers, Georges Comte, Jean-Philippe Rolin +1
We consider several systems of algebras of real- and complex-valued functions, which appear in o-minimal geometry and related geometrically tame contexts. For each such system, we…
Multisummability for generalized power series
Jean-Philippe Rolin, Tamara Servi, Patrick Speissegger
We develop multisummability, in the positive real direction, for generalized power series with natural support, and we prove o-minimality of the expansion of the real field by all…
Linearization of complex hyperbolic Dulac germs
Dino Peran, Maja Resman, Jean-Philippe Rolin +1
We prove that a hyperbolic Dulac germ with complex coefficients in its expansion is linearizable on a standard quadratic domain and that the linearizing coordinate is again a compl…
Normal forms of hyperbolic logarithmic transseries
Dino Peran, Maja Resman, Jean-Philippe Rolin +1
We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient conditi…
Oscillatory Integrals and Fractal Dimension
Jean-Philippe Rolin, Domagoj Vlah, Vesna Zupanovic
We study geometrical representation of oscillatory integrals with an analytic phase function and a smooth amplitude with compact support. Geometrical properties of the curves defin…