Narayanan, E. K. ; Sitaram, A. (2011) Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 121 (1). pp. 77-81. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/mathsci/vol121/feb2011/pmsc-d...
Related URL: http://dx.doi.org/10.1007/s12044-011-0006-y
Abstract
We define lacunary Fourier series on a compact connected semisimple Lie group G. If f∈L1(G) has lacunary Fourier series and f vanishes on a non empty open subset of G, then we prove that f vanishes identically. This result can be viewed as a qualitative uncertainty principle.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Lacunary Fourier Series; Uncertainty Principles; Weyl's Character Formula |
| ID Code: | 53512 |
| Deposited On: | 10 Aug 2011 09:50 |
| Last Modified: | 18 May 2016 06:36 |
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