From the 1 of 7 linked papers with an AI index.
7 papers
Pinned nonempty interior and volumes of simplices
Eyvindur Ari Palsson, Georgios Psaromiligkos
We study pinned nonempty-interior problems for scalar two-point configurations and for volumes of simplices. For , , compact and a smooth scalar conf…
Sharp higher order regularity of discrete maximal functions
Sung-Yi Liao, José Madrid, Eyvindur Palsson +1
The paper obtains sharp ℓ^p(Z) bounds for the first and second discrete derivatives of the uncentered Hardy‑Littlewood maximal operator applied to binary functions on the integers,…
improving estimates for multilinear forms motivated by distance graphs
Eyvindur Palsson, Jennifer Smucker
We undertake a systematic study of the mapping properties of forms based on distance graphs in to see how the structure of a graph, , affects the imp…
On volumes of simplices in intermediate dimensions
José Gaitan Montejo, Eyvindur Ari Palsson
A variant of the Falconer distance problem asks for fixed and , how large does the Hausdorff dimension of a Borel set need to be to guar…
Sparse bounds for maximal triangle and bilinear spherical averaging operators
Eyvindur Ari Palsson, Sean R. Sovine
We show that the method in recent work of Roncal, Shrivastava, and Shuin can be adapted to show that certain -improving bounds in the interior of the boundedness region for th…
Signal recovery using Gabor frames
Ivan Bortnovskyi, June Duvivier, Xiaoyao Huang +9
We present a novel probabilistic framework for the recovery of discrete signals with missing data, extending classical Fourier-based methods. While prior results, such as those of…