Pap, Gyula (1999) Lindeberg-Feller theorems on Lie groups. Archiv der Mathematik, 72 (5). pp. 328-336. ISSN 0003-889X
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Official URL: http://dx.doi.org/10.1007/s000130050340
Abstract
Necessary and sufficient conditions are given for a triangular array of probability measures on an arbitrary Lie group to converge to a Gauss measure. The main step of the proofs is an estimation for the Fourier transform of a probability measure in terms of integrals of local coordinates and a Hunt function, suggested by Professor E. Siebert. The special case of stratified nilpotent Lie groups is investigated separately.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Erika Bilicsi |
| Date Deposited: | 09 Apr 2013 12:15 |
| Last Modified: | 09 Apr 2013 12:15 |
| URI: | http://real.mtak.hu/id/eprint/4693 |
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