P. Vellucci

activity

20162022

most citedp-Riesz bases in quasi shift invariant spaces

4 citations · 4 across the 5 of their papers we have counts for

collaborators

Showing math.FAShow all

3 papers · 1 filter

math.FA2022

Applications of Lax-Milgram theorem to problems in frame theory

Laura De Carli, Pierluigi Vellucci

We apply Lax-Milgram theorem to characterize scalable and piecewise scalable frame in finite and infinite-dimensional Hilbert spaces. We also introduce a method for approximating t…

math.FA2017★ 4 cited

p-Riesz bases in quasi shift invariant spaces

Laura De Carli, Pierluigi Vellucci

Let $1 \leq p < \infty$ and let $ψ \in L^{p} (R^{d})$ . We study $p -$ Riesz bases of quasi shift invariant spaces $V^{p} (ψ; Y)$ .

math.FA2016

Kadec-1/4 Theorem for Sinc Bases

Antonio Avantaggiati, Paola Loreti, Pierluigi Vellucci

In this paper we show two results. In the first result we consider $λ_{n} - n = \frac{A}{n ^{α}}$ for $n \in N$ ; if $α > 1/2$ and $0 < A < \frac{1}{π 2 2 ζ ( 2 α )}$ , the system $\l…