2 papers
math.RT2024
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…
math.FA2024
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…