First and higher order uniform dual ergodic theorems for dynamical systems with infinite measure

被引：0
|
作者：
Ian Melbourne
Dalia Terhesiu
机构：
[1] University of Surrey,Department of Mathematics
[2] University of Warwick,Mathematics Institute
[3] University of Rome Tor Vergata,undefined
来源：
Israel Journal of Mathematics | 2013年 / 194卷
关键词：
Tauberian Theorem; Order Asymptotics; High Order Expansion; Continuous Invariant Measure; Renewal Sequence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We generalize the proof of Karamata’s Theorem by the method of approximation by polynomials to the operator case. As a consequence, we offer a simple proof of uniform dual ergodicity for a very large class of dynamical systems with infinite measure, and we obtain bounds on the convergence rate.
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页码：793 / 830
页数：37
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