Narayanan, EK and Sitaram, A (2011) Lacunary Fourier series and a qualitative uncertainty principle for compact Lie groups. In: Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 121 (1). pp. 77-81.
![[img]](http://eprints.iisc.ac.in/style/images/fileicons/application_pdf.png)
|
PDF
Lacunary_Fourier.pdf - Published Version Download (194kB) |
Official URL: http://www.ias.ac.in/mathsci/
Abstract
We define lacunary Fourier series on a compact connected semisimple Lie group G. If f is an element of L-1 (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: | Journal Article |
|---|---|
| Publication: | Proceedings of the Indian Academy of Sciences - Mathematical Sciences |
| Publisher: | Indian academy of sciences |
| Additional Information: | Copyright of this article belongs to Indian academy of sciences. |
| Keywords: | Lacunary Fourier series;uncertainty principles;Weyl's character formula |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 20 Apr 2011 05:15 |
| Last Modified: | 20 Apr 2011 05:16 |
| URI: | http://eprints.iisc.ac.in/id/eprint/36725 |
Actions (login required)
 |
View Item |
