Authors
Citation
G. Garrigos et D. Speegle, Completeness in the set of wavelets, P AM MATH S, 128(4), 2000, pp. 1157-1166
Citations number
4
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
128
Issue
4
Year of publication
2000
Pages
1157 - 1166
Database
ISI
SICI code
0002-9939(2000)128:4<1157:CITSOW>2.0.ZU;2-3
Abstract
We study the completeness properties of the set of wavelets in L-2(R). It i
s well-known that this set is not closed in the unit ball of L-2(R). Howeve
r, if one considers the metric inherited as a subspace (in the Fourier tran
sform side) of L-2(R, d xi) boolean AND L-2(R-*, d xi/\xi\), we do obtain a
complete metric space.