The range of the Helgason-Fourier transformation on homogeneous trees-Reference-Cited by-同舟云学术

The range of the Helgason-Fourier transformation on homogeneous trees

Published:1999-04 Issue:2 Volume:59 Page:237-246
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Cowling Michael,Setti Alberto G.

Abstract

Let be a homogeneous tree, o be a fixed reference point in , and be the closed ball of radius N in centred at o. In this paper we characterise the image under the Helgason–Fourier transformation ℋ of , the space of functions supported in , and of , the space of rapidly decreasing functions on . In both cases our results are counterparts of known results for the Helgason–Fourier transformation on noncompact symmetric spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

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