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math.CA2007★ 3 cited
Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture
Derrick Hart, Alex Iosevich, Doowon Koh +1
We prove a point-wise and average bound for the number of incidences between points and hyper-planes in vector spaces over finite fields. While our estimates are, in general, sharp…
math.CA2003★ 3 cited
estimates for overdetermined Radon transforms
Luca Brandolini, Allan Greenleaf, Giancarlo Travaglini
We prove several variations on the results of Ricci and Travaglini concerning bounds for convolution with all rotations of a measure supported by a fixed convex curve in the plane.…
math.CA2002
Oscillatory and Fourier Integral operators with degenerate canonical relations
Allan Greenleaf, Andreas Seeger
We mostly survey results concerning the boundedness of oscillatory and Fourier integral operators. This article does not intend to give a broad overview; it mainly focusses o…