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- W2090737121 abstract "The purpose of this paper is to prove a generalization of the classical ergodic theorem, which is applicable to functions with non-numerical values. We will proceed by giving a suggestive reformulation of the classical result, passing to the abstract formulation, and then proving the generalized theorem. Given a measure space (X,S,p), a real-valued integrable function f, and a measure preserving transformation T, the ergodic theorem asserts that the averages" @default.
- W2090737121 created "2016-06-24" @default.
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- W2090737121 date "1960-06-01" @default.
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- W2090737121 title "Ergodic theorem for general functions" @default.
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- W2090737121 doi "https://doi.org/10.1016/0022-247x(60)90031-7" @default.
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