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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…
math.FA2021★ 1 cited
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…