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- W2964064606 abstract "In this paper we study the boundedness of extension operators associated with spheres in vector spaces over finite fields. In even dimensions, we estimate the number of incidences between spheres and points in the translated set from a subset of spheres. As a result, we improve the Tomas-Stein exponents, previous results by the authors in [Iosevich and Koh, Illinois J. of Mathematics: 2008]. The analytic approach and the explicit formula for Fourier transform of the characteristic function on spheres play an important role to get good bounds for exponential sums." @default.
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- W2964064606 date "2010-01-01" @default.
- W2964064606 modified "2023-10-12" @default.
- W2964064606 title "Extension theorems for spheres in the finite field setting" @default.
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- W2964064606 doi "https://doi.org/10.1515/forum.2010.025" @default.
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