When the integral is the limit

[摘要] If (n(k)) is a pointwise (or even just norm) universally good sequence for Cesaro averages as in the ergodic theorem, then for the generic invertible measure-preserving transformation tau, the averages (1/n)Sigma(k=1)(n) f circle tau(nk) converge in norm to the integral of f. (C) 1997 Academic Press.

[发布日期] 1997-01-15