Elena Kim

activity

20192021

collaborators

4 papers

math.CV2021

A Tauberian Approach to an Analog of Weyl's law for the Kohn Laplacian on Compact Heisenberg Manifolds

Colin Fan, Elena Kim, Yunus E. Zeytuncu

Let $M = Γ ∖ H_{d}$ be a compact quotient of the $d$ -dimensional Heisenberg group $H_{d}$ by a lattice subgroup $Γ$ . We show that the eigenvalue counting functi…

math.NT2020

Constructions of Generalized MSTD Sets in Higher Dimensions

Elena Kim, Steven J. Miller

Let $A$ be a set of finite integers, define $A + A = {a_{1} + a_{2} : a_{1}, a_{2} \in A}, A - A = {a_{1} - a_{2} : a_{1}, a_{2} \in A},$ and for non-negative integers $s$ and $d$ define $…

math.NT2020

Tinkering with Lattices: A New Take on the Erdős Distance Problem

Elzbieta Boldyriew, Elena Kim, Steven J. Miller +4

The Erdős distance problem concerns the least number of distinct distances that can be determined by $N$ points in the plane. The integer lattice with $N$ points is known as \texti…

math.SP2019

Sobolev and Schatten Estimates for the Complex Green Operator on Spheres

Elena Kim, W. Jacob Ogden, Tommie Reerink +1

The complex Green operator $G$ on CR manifolds is the inverse of the Kohn-Laplacian $□_{b}$ on the orthogonal complement of its kernel. In this note, we prove Schatte…