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

Published online by Cambridge University Press:  17 April 2009

Rudra P. Sarkar  and
Alladi Sitaram
Rudra P. Sarkar
Affiliation:
Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700108, India, e-mail: rudra@isical.ac.in
Alladi Sitaram
Affiliation:
Stat-Math Unit, Indian Statistical Institute, 8th Mile, Mysore Rd, Bangalore 560059, India, e-mail: sitaram@isibang.ac.in
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 73 , Issue 3 , June 2006 , pp. 413 - 432
Copyright
Copyright © Australian Mathematical Society 2006

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