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
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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