A Central Limit Theorem for inner functions

被引：3
作者：
Nicolau, Artur [1 ,2 ]
Gibert, Odi Soler i [3 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Spain
[2] Univ Autonoma Barcelona, Ctr Recerca Matemat, Barcelona 08193, Spain
[3] Julius Maximilians Univ Wurzburg, Inst Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany
来源：
ADVANCES IN MATHEMATICS | 2022年 / 401卷
关键词：
Inner functions; Aleksandrov-Clark measures; Central Limit Theorem;
D O I：
10.1016/j.aim.2022.108318
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Desintegration Theorem for Aleksandrov-Clark measures. (c) 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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页数：39
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