UNCONDITIONAL BASES OF WAVELETS FOR SOBOLEV SPACES

Authors
GRIPENBERG G
Citation
G. Gripenberg, UNCONDITIONAL BASES OF WAVELETS FOR SOBOLEV SPACES, SIAM journal on mathematical analysis, 24(4), 1993, pp. 1030-1042
Citations number
15
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
24
Issue
4
Year of publication
1993
Pages
1030 - 1042
Database
ISI
SICI code
0036-1410(1993)24:4<1030:UBOWFS>2.0.ZU;2-5
Abstract
It is shown that an orthonormal wavelet basis for L2(R) associated wit h a multiresolution is an unconditional basis for the Sobolev space H( t)(R), t is-an-element-of [-s, s], provided the father wavelet belongs to H(s)(R) and the square of its absolute value has finite moments. A criterion for when the wavelet belongs to H(s)(R) is given.