49 citations
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO14 papers
- University of AlbertaCA11 papers
- Bielefeld UniversityDE6 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE6 papers
- Trent UniversityCA6 papers
- Friedrich Schiller University JenaDE4 papers
- Cross Cancer InstituteCA2 papers
- University of WaterlooCA2 papers
- Beijing Normal UniversityCN1 paper
- Catholic Kwandong UniversityKR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Computer Modelling Group (Canada)CA1 paper
10 papers · 1 filter
Diffraction of the primes and other sets of zero density
Adam Humeniuk, Christopher Ramsey, Nicolae Strungaru
In this paper, we show that the diffraction of the primes is absolutely continuous, showing no bright spots (Bragg peaks). We introduce the notion of counting diffraction, extendin…
A note on tempered measures
Michael Baake, Nicolae Strungaru
The relation between tempered distributions and measures is analysed and clarified. While this is straightforward for positive measures, it is surprisingly subtle for signed or com…
Why do Meyer sets diffract?
Nicolae Strungaru
Given a weak model set in a locally compact Abelian, group we construct a relatively dense set of common Bragg peaks for all its subsets that have non-trivial Bragg spectrum. Next,…
Isometries of combinatorial Banach spaces
C. Brech, V. Ferenczi, A. Tcaciuc
We prove that every isometry between two combinatorial spaces is determined by a permutation of the canonical unit basis combined with a change of signs. As a consequence, we show…
On norm almost periodic measures
Timo Spindeler, Nicolae Strungaru
In this paper, we study norm almost periodic measures on locally compact Abelian groups. First, we show that the norm almost periodicity of is equivalent to the equi-Bohr almos…
On quasinilpotent operators and the invariant subspace problem
Adi Tcaciuc
We show that a bounded quasinilpotent operator acting on an infinite dimensional Banach space has an invariant subspace if and only if there exists a rank one operator and…