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.CA2014
About the Uniform Hölder Continuity of Generalized Riemann Function
F. Bastin, S. Nicolay, L. Simons
In this paper, we study the uniform Hölder continuity of the generalized Riemann function (with and ) defined by \[ R_{α,β}(x)=\sum_{n=1}^{+\infty}\frac{\sin(π…