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July 2013 An analogue of the spectral projection for homogeneous trees
Shin Koizumi
Hiroshima Math. J. 43(2): 207-221 (July 2013). DOI: 10.32917/hmj/1372180512

Abstract

We shall define the spectral projection on the homogeneous tree $\mathfrak X$, which is an analogue of the one given by Bray for semisimple Lie groups. We shall prove the Paley--Wiener theorem for the spectral projection on $\mathfrak X$. As an application, we present an elementary proof of the Paley--Wiener theorem for the Helgason--Fourier transform on $\mathfrak X$, which was obtained by Cowling and Setti.

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Shin Koizumi. "An analogue of the spectral projection for homogeneous trees." Hiroshima Math. J. 43 (2) 207 - 221, July 2013. https://doi.org/10.32917/hmj/1372180512

Information

Published: July 2013
First available in Project Euclid: 25 June 2013

zbMATH: 1277.43014
MathSciNet: MR3072952
Digital Object Identifier: 10.32917/hmj/1372180512

Subjects:
Primary: 43A80, 43A85

Rights: Copyright © 2013 Hiroshima University, Mathematics Program

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Vol.43 • No. 2 • July 2013
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