Bazarova, A. and Berkes, István and Raseta, M. (2017) Strong approximation of lacunary series with random gaps. MONATSHEFTE FUR MATHEMATIK. pp. 1-14. ISSN 0026-9255
|
Text
strongapp.pdf Download (157kB) | Preview |
Official URL: https://doi.org/10.1007/s00605-017-1059-5
Abstract
We investigate the asymptotic behavior of sums (Formula presented.), where f is a mean zero, smooth periodic function on (Formula presented.) and (Formula presented.) is a random sequence such that the gaps (Formula presented.) are i.i.d. Our result shows that, in contrast to the classical Salem–Zygmund theory, the almost sure behavior of lacunary series with random gaps can be described very precisely without any assumption on the size of the gaps. © 2017 Springer-Verlag Wien
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Wiener approximation; Random indices; Lacunary series |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 06 Nov 2017 15:03 |
| Last Modified: | 06 Nov 2017 15:03 |
| URI: | http://real.mtak.hu/id/eprint/67158 |
Actions (login required)
 |
Edit Item |
