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23 p, 200.6 KB Non-isotropic distance measures for lattice-generated sets / Iosevich, Alexander ; Rudnev, Misha
We study distance measures for lattice-generated sets in Rd, d [greater traan or equal] 3, with respect to non-isotropic distances 8 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. [...]
2005 - 10.5565/PUBLMAT_49105_11
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 225-247  

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