Ryan L. Acosta Babb

collaborators

3 papers

math.AP2025

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $T^{3}$

Ryan L. Acosta Babb, Andrew Rout

In this article, we consider Hartree equations generalised to $2 p + 1$ order nonlinearities. These equations arise in the study of the mean-field limits of Bose gases with $p$ -body i…

math.CA2024

A partial converse to the Riemann--Lebesgue lemma for Bessel--Fourier series of order zero

Ryan L. Acosta Babb

It is known that the Bessel--Fourier coefficients $f_{m}$ of a function $f$ such that $x f (x)$ is integrable over $[0, 1]$ satisfy $f_{m} / m \to 0$ . We show a partial convers…

math.FA2024

Exploring Convexity in Normed Spaces

Ryan Luis Acosta Babb

Normed spaces appear to have very little going for them: aside from the hackneyed linear structure, you get a norm whose only virtue, aside from separating points, is the Triangle…

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on T3

A partial converse to the Riemann--Lebesgue lemma for Bessel--Fourier series of order zero

Exploring Convexity in Normed Spaces

The well-posedness and convergence of higher-order Hartree equations in critical Sobolev spaces on $T^{3}$