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Title

A Paley-Wiener theorem on NA harmonic spaces

Authors 1, 1

Affiliations

  1. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy

Abstract

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.

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Colloquium Mathematicum
1999/80/2
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Pages:
211-233
Main language of publication
English
Received
1998-02-24
Accepted
1998-10-16
Published
1999
Exact and natural sciences