2 citations · 7 across the 9 of their papers we have counts for
9 papers
Harish-Chandra's admissibility problem for Banach space representations of
Francesca Astengo, Michael G. Cowling, Bianca Di Blasio
We show that irreducible strongly continuous representations of on certain Banach spaces are admissible and that the admissibility of Banach space repre…
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 and completely bounded multipliers of SL(2,R)
Francesca Astengo, Michael G. Cowling, Bianca Di Blasio
We estimate the norms of many matrix coefficients of irreducible uniformly bounded representations of SL(2, R) as completely bounded multipliers of the Fourier algebra. Our results…
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…