COMPLETENESS IN L-2(R) OF ALMOST INTEGER TRANSLATES

Authors
Citation
A. Olevskii, COMPLETENESS IN L-2(R) OF ALMOST INTEGER TRANSLATES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(9), 1997, pp. 987-991
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
324
Issue
9
Year of publication
1997
Pages
987 - 991
Database
ISI
SICI code
0764-4442(1997)324:9<987:CILOAI>2.0.ZU;2-E
Abstract
We prove that for any noninteger real sequence lambda(n) = n + o(1), t here exists a function phi is an element of L-2(R) such that the syste m of translates {phi(t - lambda(n))} spans all of the space L-2 (R).