52 citations · 248 across the 17 of their papers we have counts for
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Hankel transforms of general monotone functions
Alberto Debernardi
We show that the Hankel transform of a general monotone function converges uniformly if and only if the limit function is bounded. To this end, we rely on an Abel-Olivier test for…
Approximation of Hausdorff operators
Alberto Debernardi, Elijah Liflyand
Truncating the Fourier transform averaged by means of a generalized Hausdorff operator, we approximate the adjoint to that Hausdorff operator of the given function. We find the for…
Riesz bases of exponentials for convex polytopes with symmetric faces
Alberto Debernardi, Nir Lev
We prove that for any convex polytope which is centrally symmetric and whose faces of all dimensions are also centrally symmetric, there exists a Riesz basi…
Weighted norm inequalities for generalized Fourier-type transforms and applications
A. Debernardi
We obtain necessary and sufficient conditions on weights for the generalized Fourier-type transforms to be bounded between weighted spaces. As an important example, we in…