The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences

The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences
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DOI:
10.1090/s0002-9947-1985-0773063-8
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发表时间:
1985
影响因子:
1.3
通讯作者:
A. Bellow;V. Losert
A. Bellow;V. Losert
中科院分区:
数学1区
文献类型:
--
作者:
A. Bellow;V. Losert

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本文在加权逐点遍历定理的基础上,综合了多位数学家的大量前人工作,将其整合成一个系统一致的方案,并对这一课题提出了一些独到的贡献,扩展了它的边界,并提出了进一步研究的途径。全文共分六个部分。最重要的新成果载于§5和6。
In this paper on the weighted pointwise ergodic theorem we bring together a substantial amount of previous work by a number of mathematicians and integrate it into a systematic consistent scheme; we also bring some original contributions to the subject which extend its boundaries and suggest further avenues of research. The paper is divided into six sections. The most significant new results are contained in §§5 and 6.