14 citations · 37 across the 15 of their papers we have counts for
4 papers · 1 filter
Irregularities of distribution for bounded sets and half-spaces
Luca Brandolini, Leonardo Colzani, Giancarlo Travaglini
We prove a general result on irregularities of distribution for Borel sets intersected with bounded measurable sets or affine half-spaces.
An Euler-Maclaurin formula for polygonal sums
Luca Brandolini, Leonardo Colzani, Sinai Robins +1
We prove an Euler-Maclaurin formula for double polygonal sums and, as a corollary, we obtain approximate quadrature formulas for integrals of smooth functions over polygons with in…
Average decay estimates for Fourier transforms of measures supported on curves
Luca Brandolini, Giacomo Gigante, Allan Greenleaf +3
We consider Fourier transforms of densities supported on curves in R^d. We obtain sharp lower and close to sharp upper bounds for the L^q decay rates.
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.…