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Harmonic analysis related to homogeneous varieties in three dimensional vector space over finite fields
[article]
2010
arXiv
pre-print
In this paper we study extension problems, averaging problems, and generalized Erdos-Falconer distance problems associated with arbitrary homogeneous varieties in three dimensional vector space over finite fields. In the case when homogeneous varieties in three dimension do not contain any plane passing through the origin, we obtain the general best possible results on aforementioned three problems. In particular, our results on extension problems recover and generalize the work due to
arXiv:1005.2644v1
fatcat:ifm6o7sckjgzrjmoqq7mqrk5ve