86 citations
- Arizona State UniversityUS2 papers
- Astrophysique, Instrumentation et ModélisationFR2 papers
- CEA Paris-SaclayFR2 papers
- Centre National de la Recherche ScientifiqueFR2 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR2 papers
- Foundation for Research and Technology HellasGR2 papers
- National and Kapodistrian University of AthensGR2 papers
- Universitat de ValènciaES2 papers
- Université Paris CitéFR2 papers
- Agricultural University of AthensGR1 paper
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math.CA2004★ 4 cited
Tiles with no spectra
Mihail N. Kolountzakis, Mate Matolcsi
We exhibit a subset of a finite Abelian group, which tiles the group by translation, and such that its tiling complements do not have a common spectrum (orthogonal basis for their…
math.CA2003
A Weyl type formula for Fourier spectra and frames
Alex Iosevich, Mihail N. Kolountzakis
We prove qualitative and quantitative results concerning the asymptotic density in dilates of centered convex bodies of the frequency vectors of orthogonal exponential bases and fr…
math.CA2003★ 1 cited
Distance sets corresponding to convex bodies
Mihail N. Kolountzakis
Suppose that $K \subseteq \RR^d$ is a 0-symmetric convex body which defines the usual norm $$ \Norm{x}_K = \sup\Set{t\ge 0: x \notin tK} $$ on $\RR^d$. Let also $A\subseteq\RR^d$ b…