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Non-isotropic distance measures for lattice-generated sets.

Alexander Iosevich; Misha Rudnev — 2005

Publicacions Matemàtiques

We study distance measures for lattice-generated sets in Rd, d>=3, with respect to non-isotropic distances l-l.K, induced by smooth symmetric convex bodies K. An effective Fourier-analytic approach is developed to get sharp upper bounds for the second moment of the weighted distance measure.

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