Authors
Citation
J. Rosenblatt, WHEN THE INTEGRAL IS THE LIMIT, Journal of mathematical analysis and applications, 205(2), 1997, pp. 560-567
Citations number
5
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
0022247X
Volume
205
Issue
2
Year of publication
1997
Pages
560 - 567
Database
ISI
SICI code
0022-247X(1997)205:2<560:WTIITL>2.0.ZU;2-M
Abstract
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 i
nvertible measure-preserving transformation tau, the averages (1/n)Sig
ma(k=1)(n) f circle tau(nk) converge in norm to the integral of f. (C)
1997 Academic Press.