2 citations · 7 across the 9 of their papers we have counts for
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Schwartz correspondence for real motion groups in low dimensions
Francesca Astengo, Bianca Di Blasio, Fulvio Ricci
For a Gelfand pair with a Lie group of polynomial growth and a compact subgroup, the "Schwartz correspondence" states that the spherical transform maps the bi--i…
The Schwartz correspondence for the complex motion group on
Francesca Astengo, Bianca Di Blasio, Fulvio Ricci
If is a Gelfand pair, with a Lie group of polynomial growth and a compact subgroup of , the Gelfand spectrum of the bi--invariant algebra $L^1(K\backslash…
On the Schwartz correspondence for Gelfand pairs of polynomial growth
Francesca Astengo, Bianca Di Blasio, Fulvio Ricci
Let be a Gelfand pair, with a Lie group of polynomial growth, and let be a homeomorphic image of the Gelfand spectrum, obtained by choosing a…
Uniformly bounded representations of SL2R
Francesca Astengo, Michael Cowling, Bianca Di Blasio
We compute the "norm" of irreducible uniformly bounded representations of SL2R. We show that the Kunze-Stein version of the uniformly bounded representations has minimal norm in th…
Paley--Wiener Theorems for the U(n)--spherical transform on the Heisenberg group
Francesca Astengo, Bianca Di Blasio, Fulvio Ricci
We prove several Paley--Wiener-type theorems related to the spherical transform on the Gelfand pair , where is the -dimensional Heisenbe…
Dynamics of the heat semigroup in Jacobi analysis
Francesca Astengo, Bianca Di Blasio
Let be the Jacobi Laplacian. We study the chaotic and hypercyclic behaviour of the strongly continuous semigroups of operators generated by perturbations of with a multiple…
Gelfand pairs on the Heisenberg group and Schwartz functions
Francesca Astengo, Bianca Di Blasio, Fulvio Ricci
Let $\Hn$ be the -dimensional Heisenberg group and a compact group of automorphisms of $\Hn$ such that $(K\ltimes \Hn,K)$ is a Gelfand pair. We prove that the Gelfand t…