On vector-valued random Fourier series期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On vector-valued random Fourier series

Authors:

Michel Talagrand

Affiliation:

1. Equipe d'Analyse-Tour 46, University of Paris VI, 4 Place Jussieu, 75230, Paris Cedex 05
2. Department of Mathematics, The Ohio State University, 43210, Columbus, Ohio

Abstract:

Consider a (complex) Banach spaceX, such thatX nsup

C_O, and vectors(X_i)_i ofX. Consider an independent standard normal sequence(g_i)_i. Then if anX-valued random Fourier series sum

_|k|

_ne^iktg_kx_k satisfies

$mathop {sup }limits_n Emathop {sup }limits_{left\| t right\| leqslant 1} left\| {sumlimits_{left\| k right\| leqslant n} {e^{ikt} g_k x_k } } right\|< infty$

Keywords:	Random Fourier series complex Banach space
本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏