Complex Hadamard matrices and the spectral set conjecture.
Kolountzakis, Mihail N. ; Matolcsi, Máté
Collectanea Mathematica, Tome 57 (2006), p. 281-291 / Harvested from Biblioteca Digital de Matemáticas
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By analyzing the connection between complex Hadamard matrices and spectral sets, we prove the direction "spectral ⇒ tile" of the Spectral Set Conjecture, for all sets A of size |A| ≤ 5, in any finite Abelian group. This result is then extended to the infinite grid Zd for any dimension d, and finally to Rd.

Publié le : 2006-01-01
DMLE-ID : 4268 
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     title = {Complex Hadamard matrices and the spectral set conjecture.},
     journal = {Collectanea Mathematica},
     volume = {57},
     year = {2006},
     pages = {281-291},
     zbl = {1134.42313},
     mrnumber = {MR2264214},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41780}
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Kolountzakis, Mihail N.; Matolcsi, Máté. Complex Hadamard matrices and the spectral set conjecture.. Collectanea Mathematica, Tome 57 (2006) pp. 281-291. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41780/