Authors
Citation
Kj. Falconer, A nonlinear Mercerian theorem, J MATH ANAL, 239(2), 1999, pp. 440-448
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X
→ ACNP
Volume
239
Issue
2
Year of publication
1999
Pages
440 - 448
Database
ISI
SICI code
0022-247X(19991115)239:2<440:ANMT>2.0.ZU;2-N
Abstract
We show that convergence of x(t) as t --> infinity may be deduced from the
limiting behavior of certain functions involving x(t) and its Cesaro averag
es. Dynamical systems methods are used to derive this "Mercerian-type" resu
lt. (C) 1999 Academic Press.