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math.CA2024★ 1 cited
Maximality and completeness of orthogonal exponentials on the cube
Mihail N. Kolountzakis, Nir Lev, Máté Matolcsi
It is possible to have a packing by translates of a cube that is maximal (i.e.\ no other cube can be added without overlapping) but does not form a tiling. In the long running anal…
math.CA2024
Orthogonal Fourier Analysis on Domains
Mihail N. Kolountzakis
In this paper we go over the history of the Fuglede or Spectral Set Conjecture as it has developed over the last 30 years or so. We do not aim to be exhaustive and we do not cover…