E. Palsson

activity

20242026

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3 papers · 1 filter

math.CO2024

Congruence Classes of Simplex Structures in Finite Field Vector Spaces

Timothy Cheek, Joseph Cooper, Pico Gilman +6

We study a generalization of the Erdős-Falconer distance problem over finite fields. For a graph $G$ , two embeddings $p, p^{'} : V (G) \to F_{q}^{d}$ of a graph $G$ are congruent i…

math.CA2024

Packing sets in Euclidean space by affine transformations

Alex Iosevich, Pertti Mattila, Eyvindur Palsson +4

For Borel subsets $Θ \subset O (d) \times R^{d}$ (the set of all rigid motions) and $E \subset R^{d}$ , we define \begin{align*} Θ(E):=\bigcup_{(g,z)\in Θ}(gE+z). \end{ali…

math.CA2024

Multi-linear forms, structure of graphs and Lebesgue spaces

A. Iosevich, E. Palsson, Y. Zhai +1

Consider the operator $T_{K} f (x) = \int_{R^{d}} K (x, y) f (y) d y,$ where $K$ is a locally integrable function or a measure. The purpose of this paper is to study the multi-line…