Emmanuil Spyridakis

collaborators

3 papers

math.CA2025

Bounded lattice tiles that pack with another lattice

Sigrid Grepstad, Mihail N. Kolountzakis, Emmanuil Spyridakis

Suppose L and 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 a bounded measurable…

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…