Let N be an H-type group and consider its one-dimensional solvable extension NA, equipped with a suitable left-invariant Riemannian metric. We prove a Paley-Wiener theorem for nonradial functions on NA supported in a set whose boundary is a horocycle of the form Na, a ∈ A.
@article{bwmeta1.element.bwnjournal-article-cmv80i2p211bwm,
author = {Francesca Astengo and Bianca di Blasio},
title = {A Paley-Wiener theorem on NA harmonic spaces},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {211-233},
zbl = {0938.43003},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv80i2p211bwm}
}
Astengo, Francesca; di Blasio, Bianca. A Paley-Wiener theorem on NA harmonic spaces. Colloquium Mathematicae, Tome 79 (1999) pp. 211-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv80i2p211bwm/
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