The Helgason Fourier transform for semisimple Lie groups I: The Case of SL2(ℝ)-Reference-Cited by-同舟云学术

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The Helgason Fourier transform for semisimple Lie groups I: The Case of SL2(ℝ)

Published:2006-06 Issue:3 Volume:73 Page:413-432
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Sarkar Rudra P.,Sitaram Alladi

Abstract

We consider a Helgason-type Fourier transform on SL2(ℝ) and prove various results on L1-harmonic analysis on the full group analogous to those on symmetric spaces.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference27 articles.

1. A Qualitative Uncertainty Principle for Certain Locally Compact Groups

2. LP harmonic analysis on SL(2, R);Barker;Mem. Amer. Math. Soc. 393,1988

3. Paley–Wiener Theorems for Hyperbolic Spaces

4. The Helgason Fourier transform for homogeneous vector bundles over Riemannian symmetric spaces

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group;Springer Monographs in Mathematics;2009

2. Abel transform on PSL(2, ℝ) and some of its applications;Proceedings Mathematical Sciences;2008-05

3. The Helgason Fourier transform for semisimple Lie groups I: The case of SL2(R);Bulletin of the Australian Mathematical Society;2007-02

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