3 papers
math.CA2026
A Continuum of Small-cap Decouplings and Exponential Sums for the Moment Curve in
Jacob Glidewell
We use the high-low method and wavepacket pruning to prove new small-cap decoupling estimates for the moment curve in . As an application, we verify a conjecture of D…
math.CA2024
The Ross-Darboux-Stieltjes Integral
David Cruz-Uribe, Jacob Glidewell
Motivated by the limitations of the traditional definitions of the Riemann-Stieltjes and Darboux-Stieltjes integrals, we introduce a generalized Darboux-Stieltjes integral that is…
math.FA2023
Additive Stability of Frames
Oleg Asipchuk, Jacob Glidewell, Luis Rodriguez
Given a frame in a finite dimensional Hilbert space we construct additive perturbations which decrease the condition number of the frame. By iterating this perturbation, we introdu…