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math.CA2016
Existence of quasicrystals and universal stable sampling and interpolation in LCA groups
E. Agora, J. Antezana, C. Cabrelli +1
We characterize all the locally compact abelian (LCA) groups that contain quasicrystals (a class of model sets). Moreover, we describe all possible quasicrystals in the group const…
math.CA2016
Spectra for cubes in products of finite cyclic groups
Elona Agora, Sigrid Grepstad, Mihail N. Kolountzakis
We consider "cubes" in products of finite cyclic groups and we study their tiling and spectral properties. (A set in a finite group is called a tile if some of its translates form…