Carmelo Puliatti

activity

20172025

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math.CA2024

On Fourier transforms of fractal measures on the parabola

Tuomas Orponen, Carmelo Puliatti, Aleksi Pyörälä

Let $s \in [0, 1]$ and $t \in [0, min {3 s, s + 1})$ . Let $σ$ be a Borel measure supported on the parabola $P = {(x, x^{2}) : x \in [- 1, 1]}$ satisfying the $s$ -dimensional…

math.CA2018

Measures that define a compact Cauchy transform

Carmelo Puliatti

The aim of this work is to provide a geometric characterization of the positive Radon measures $μ$ with compact support on the plane such that the associated Cauchy transform defin…