2 citations · 7 across the 6 of their papers we have counts for
7 papers
Exponentiations of ultrafilters
Lorenzo Luperi Baglini
In recent years, several problems regarding the partition regularity of exponential configurations have been studied in the literature, in some cases using the properties of specif…
Self-divisible ultrafilters and congruences in
Mauro Di Nasso, Lorenzo Luperi Baglini, Rosario Mennuni +2
We introduce self-divisible ultrafilters, which we prove to be precisely those such that the weak congruence relation introduced by Šobot is an equivalence relation…
The classical theory of calculus of variations for generalized functions
Alexander Lecke, Lorenzo Luperi Baglini, Paolo Giordano
We present an extension of the classical theory of calculus of variations to generalized functions. The framework is the category of generalized smooth functions, which includes Sc…
Asymptotic gauges: generalization of Colombeau type algebras
Paolo Giordano, Lorenzo Luperi Baglini
We use the general notion of set of indices to construct algebras of nonlinear generalized functions of Colombeau type. They are formally defined in the same way as the special Col…
Generalized Functions Beyond Distributions
Vieri Benci, Lorenzo Luperi Baglini
Ultrafunctions are a particular class of functions defined on a Non Archimedean field R^{*}\supset R. They have been introduced and studied in some previous works ([1],[2],[3]). In…
F-finite embeddabilities of sets and ultrafilters
Lorenzo Luperi Baglini
Let be a semigroup, let be a positive natural number, let , let and let let $\mathcal{F}\subseteq\{f:S^{n}\right…
A non-archimedean Algebra and the Schwartz impossibility theorem
Vieri Benci, Lorenzo Luperi Baglini
In the 1950s L. Schwartz proved his famous impossibility result: for every k in N there does not exist a differential algebra (A,+,*,D) in which the distributions can be embedded,…