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Projections of planar sets in well-separated directions - MaRDI portal

Projections of planar sets in well-separated directions (Q284856)

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scientific article; zbMATH DE number 6581876
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Projections of planar sets in well-separated directions
scientific article; zbMATH DE number 6581876

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    Projections of planar sets in well-separated directions (English)
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    18 May 2016
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    projections
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    polynomial method
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    Ahlfors-David regular sets
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    Let \(\pi_{e}(K)\) stand for the orthogonal projection of set \(K\subset {\mathbb R}^2\) into the line spanned by \(e\in S_1\), \(N(A, r)\) is the \(r\)-covering number of the set \(A\), and NEWLINE\[NEWLINE E_s := \{e : N(\pi_{e}(K), \delta) \leq \delta^{-s}\}. NEWLINE\]NEWLINE The author obtains new estimates for \(N(E_{s}, r)\) and \(N(\pi_{e}(K), \delta)\).
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