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math.LO2026
Definability of complex functions in o-minimal structures
Adele Padgett, Patrick Speissegger
The paper shows that certain holomorphic extensions of functions from the classes an* and G are definable in the o‑minimal structures R_an* and R_G, identifies optimal complex doma…
math.LO2024
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…