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math.CA2025
On the kernel of the Stieltjes derivative and the space of bounded Stieltjes-differentiable functions
Francisco J. Fernández, Ignacio Márquez Albés, F. Adrián F. Tojo +1
We investigate the existence and uniqueness of solutions to first-order Stieltjes differential problems, focusing on the role of the Stieltjes derivative and its kernel. Unlike the…
math.CA2023
Stieltjes analytic functions and higher order linear differential equations
Víctor Cora, F. Javier Fernández, F. Adrián F. Tojo
In this work we develop a theory of Stieltjes-analytic functions. We first define the Stieltjes monomials and polynomials and we study them exhaustively. Then, we introduce the Sti…