13 citations · 29 across the 8 of their papers we have counts for
12 papers
Sampling in spaces of entire functions of exponential type in
Alessandro Monguzzi, Marco M. Peloso, M. Salvatori
In this paper we consider the question of sampling for spaces of entire functions of exponential type in several variables. The novelty resides in the growth condition we impose, t…
Fractional Paley-Wiener and Bernstein spaces
Alessandro Monguzzi, Marco M. Peloso, Maura Salvatori
We introduce and study a family of spaces of entire functions in one variable that generalise the classical Paley-Wiener and Bernstein spaces. Namely, we consider entire functions…
Ahlfors regular spaces have regular subspaces of any dimension
Nicola Arcozzi, Alessandro Monguzzi, Maura Salvatori
We characterize -dimensional Ahlfors regular spaces among trees' boundaries and show how to construct, for each , an -regular subspace. As an application, we give a…
Fractional Laplacian, homogeneous Sobolev spaces and their realizations
Alessandro Monguzzi, Marco M. Peloso, Maura Salvatori
We study the fractional Laplacian and the homogeneous Sobolev spaces on R^d , by considering two definitions that are both considered classical. We compare these different definiti…
Paley--Wiener theorems on the Siegel upper half-space
Nicola Arcozzi, Alessandro Monguzzi, Marco M. Peloso +1
In this paper we study spaces of holomorphic functions on the Siegel upper half-space and prove Paley-Wiener type theorems for such spaces. The boundary of $\mathcal U…
On some spaces of holomorphic functions of exponential growth on a half-plane
Marco M. Peloso, Maura Salvatori
In this paper we study spaces of holomorphic functions on the right half-plane , that we denote by , whose growth conditions are given in terms of a translation…