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Sparse bounds for discrete singular Radon transforms

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 نشر من قبل Bingyang Hu
 تاريخ النشر 2019
  مجال البحث
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We show that discrete singular Radon transforms along a certain class of polynomial mappings $P:mathbb{Z}^dto mathbb{Z}^n$ satisfy sparse bounds. For $n=d=1$ we can handle all polynomials. In higher dimensions, we pose restrictions on the admissible polynomial mappings stemming from a combination of interacting geometric, analytic and number-theoretic obstacles.

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