Non-isotropic distance measures for lattice-generated sets.
Iosevich, Alexander ; Rudnev, Misha
Publicacions Matemàtiques, Tome 49 (2005), p. 225-247 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

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.

Publié le : 2005-01-01
DMLE-ID : 4069 
@article{urn:eudml:doc:41561,
     title = {Non-isotropic distance measures for lattice-generated sets.},
     journal = {Publicacions Matem\`atiques},
     volume = {49},
     year = {2005},
     pages = {225-247},
     zbl = {1129.42347},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41561}
}

Iosevich, Alexander; Rudnev, Misha. Non-isotropic distance measures for lattice-generated sets.. Publicacions Matemàtiques, Tome 49 (2005) pp. 225-247. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41561/