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Paleys Theory for Lacunary Fourier Series on Discrete Groups: a Semigroup-Interpretation

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 نشر من قبل Tao Mei
 تاريخ النشر 2017
  مجال البحث
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 تأليف Tao Mei




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The main result is a Paleys theory for lacunary Fourier series using semigroup-BMO and $H^1$ spaces. This interpretation allows an extension of Paleys theory to general discrete groups, complementing the work of Rudin for abelian groups with a total order, and Lust-Piquard and Pisiers work for lacunary Fourier series with operator-valued coefficients.

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