Emmanuil Spyridakis

collaborators

3 papers

math.CA2025

Bounded lattice tiles that pack with another lattice

Sigrid Grepstad, Mihail N. Kolountzakis, Emmanuil Spyridakis

Suppose $L, M$ are full-rank lattices in Euclidean space, such that $vol L < vol M$ . Answering a question of Han and Wang from 2001, we show how to construct…

math.CA2024

Exponential polynomials and identification of polygonal regions from Fourier samples

Mihail N. Kolountzakis, Emmanuil Spyridakis

Consider the set $E (D, N)$ of all bivariate exponential polynomials $f (ξ, η) = j = 1 \sum n p_{j} (ξ, η) e^{2 π i (x_{j} ξ + y_{j} η)},$ where the polynomials $p_{j} \in C [ξ, η]$ hav…

math.CA2024

Curves in the Fourier zeros of polytopal regions and the Pompeiu problem

Mihail N. Kolountzakis, Emmanuil Spyridakis

We prove that any finite union $P$ of interior-disjoint polytopes in $R^{d}$ has the Pompeiu property, a result first proved by Williams [Wil76]. This means that if a conti…