3 papers
math.FA2026
A Functorial Approach to Multi-Space Interpolation with Function Parameters
Thomas Lamby, Samuel Nicolay
We introduce an extension of interpolation theory to more than two spaces by employing a functional parameter, while retaining a fully functorial and systematic framework. This app…
math.GM2025
The Thomae Function: Fractal Insights
Thomas Lamby, Samuel Nicolay
This article examines the Thomae function, a paradigmatic example of a function that is continuous on the irrationals and discontinuous elsewhere. Defined for a parameter , it…
math.CA2025
Newton series representation of completely monotone functions
Thomas Lamby, Jean-Luc Marichal, Naïm Zenaïdi
We prove that every completely monotone function defined on a right-unbounded open interval admits a Newton series expansion at every point of that interval. This result can be vie…