Mihail N. Kolountzakis

activity

19992026

most citedOn the structure of multiple translational tilings by polygonal regions

1 citations · 1 across the 11 of their papers we have counts for

collaborators

12 papers

math.CA2026

Weak Tiling by Unions of Non-overlapping Unit Cubes

Tianyu Chen, Shilei Fan, Mihail N. Kolountzakis +1

We study weak tiling by finite unions of pairwise non-overlapping unit cubes in $R^{d}$ that are not necessarily axis-parallel. We obtain a weak-tiling analogue of Keller's c…

math.CA2026

Functions with comparable integrals on all k-planes

Mihail N. Kolountzakis, Götz E. Pfander

Let $d \geq 2$ and $1 \leq k \leq d - 1$ . We show that if $f : R^{d} \to R$ is nonnegative and measurable and $0 < m \leq M < \infty$ then it is impossible that on almost all aff…

math.FA2026

Tilings, packings, and the existence of Schwartz-class Gabor windows

Andrei Caragea, Mihail N. Kolountzakis, Götz Pfander

The existence and construction of Schwartz-class windows for lattice Gabor frames is a central problem in time--frequency analysis. For general time--frequency lattices, we charact…

math.CA2026

Spectrality of factors of product spectral measures

Mihail N. Kolountzakis, Chun-Kit Lai, Kailing Lai +1

We refine the method by Greenfeld and Lev for the product spectral set problem and generalize the theorem to a singular measure setting. Furthermore, we establish a new class of sp…

math.CA2025

Spectra for finite unions of line segments

Mihail N. Kolountzakis, Ruxi Shi, Sha Wu

In this paper we study the spectrality of arc-length measures supported on the union of two line segments in the plane. We show that any such spectral measure must admit a line spe…

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…