Restriction and Kakeya phenomena for finite fields
Mockenhaupt, Gerd ; Tao, Terence
Duke Math. J., Tome 121 (2004) no. 1, p. 35-74 / Harvested from Project Euclid
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The restriction and Kakeya problems in Euclidean space have received much attention in the last few decades, and they are related to many problems in harmonic analysis, partial differential equations (PDEs), and number theory. In this paper we initiate the study of these problems on finite fields. In many cases the Euclidean arguments carry over easily to the finite setting (and are, in fact, somewhat cleaner), but there are some new phenomena in the finite case which deserve closer study.
Publié le : 2004-01-15
Classification:  42B05,  11T24,  52C17 
@article{1072058749,
     author = {Mockenhaupt, Gerd and Tao, Terence},
     title = {Restriction and Kakeya phenomena for finite fields},
     journal = {Duke Math. J.},
     volume = {121},
     number = {1},
     year = {2004},
     pages = { 35-74},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1072058749}
}

Mockenhaupt, Gerd; Tao, Terence. Restriction and Kakeya phenomena for finite fields. Duke Math. J., Tome 121 (2004) no. 1, pp.  35-74. http://gdmltest.u-ga.fr/item/1072058749/