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Recent developments in fractals and related fields, 87-111, Trends Math., Birkhäuser/Springer, Cham

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The divergence of Mock Fourier series for spectral measures

math.FA · 2022-06-02 · unverdicted · novelty 4.0

Gives a sufficient condition for Mock Fourier series of doubling spectral measures to diverge on a non-zero set, with the quarter Cantor measure as an example where sums fail to converge almost everywhere.

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  • The divergence of Mock Fourier series for spectral measures math.FA · 2022-06-02 · unverdicted · none · ref 7

    Gives a sufficient condition for Mock Fourier series of doubling spectral measures to diverge on a non-zero set, with the quarter Cantor measure as an example where sums fail to converge almost everywhere.