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Necessary density conditions for sampling and interpolation of certain entire functions.Acta Mathematica, 117:37–52, 1967

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On the spectra of Cantor measures

math.CA · 2026-05-18 · unverdicted · novelty 7.0

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

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  • On the spectra of Cantor measures math.CA · 2026-05-18 · unverdicted · none · ref 11

    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