$L^p$ version of Hardy’s theorem on semisimple Lie groups
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- by E. K. Narayanan and S. K. Ray PDF
- Proc. Amer. Math. Soc. 130 (2002), 1859-1866 Request permission
Abstract:
We prove an analogue of the $L^p$ version of Hardy’s theorem on semisimple Lie groups. The theorem says that on a semisimple Lie group, a function and its Fourier transform cannot decay very rapidly on an average.References
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Additional Information
- E. K. Narayanan
- Affiliation: Stat-Math Unit, Indian Statistical Institute, 8th Mile Mysore Road, Bangalore 560 059, India
- Address at time of publication: Department of Mathematics & Computer Sciences, Bar-Ilan University, 52900 Ramat-Gan, Israel
- Email: naru@isibang.ac.in, naru@macs.biu.ac.il
- S. K. Ray
- Affiliation: Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Calcutta 700035, India
- Address at time of publication: Department of Mathematics, Indian Institute of Technology, Kanpur, U.P.-208016, India
- MR Author ID: 641235
- Email: res9601@www.isical.ac.in, skray@iitk.ac.in
- Received by editor(s): July 25, 2000
- Received by editor(s) in revised form: January 2, 2001
- Published electronically: January 16, 2002
- Additional Notes: This research was supported by NBHM, India
- Communicated by: Christopher D. Sogge
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1859-1866
- MSC (2000): Primary 22E30; Secondary 22E46, 43A30
- DOI: https://doi.org/10.1090/S0002-9939-02-06272-X
- MathSciNet review: 1887035