The paper gives a complete characterization of maximal orthogonal exponential sets in L2 of a class of Cantor measures with contraction p^{-α}, proving that each successive base-N digit of frequencies in such a set has exactly m choices and that these sets correspond to labelings of an m-homogeneous
Fuglede’s conjecture is false in 5 and higher dimensions.Mathematical Research Letters, 11(2):251–258, 2004
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On the spectra of Cantor measures
The paper gives a complete characterization of maximal orthogonal exponential sets in L2 of a class of Cantor measures with contraction p^{-α}, proving that each successive base-N digit of frequencies in such a set has exactly m choices and that these sets correspond to labelings of an m-homogeneous