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19992011
most citedExtension theorems for the Fourier transform associated with non-degenerate quadratic surfaces in vector spaces over finite fields

14 citations · 72 across the 26 of their papers we have counts for

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math.CA1999

Convex bodies with a point of curvature do not have Fourier bases

Alex Iosevich, Nets Hawk Katz, Terence Tao

We prove that no smooth symmetric convex body with at least one point of non-vanishing Gaussian curvature can admit an orthogonal basis of exponentials. (The non-symmetric case…