WAVELETS IN WANDERING SUBSPACES

Authors
GOODMAN TNT LEE SL TANG WS
Citation
Tnt. Goodman et al., WAVELETS IN WANDERING SUBSPACES, Transactions of the American Mathematical Society, 338(2), 1993, pp. 639-654
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
338
Issue
2
Year of publication
1993
Pages
639 - 654
Database
ISI
SICI code
0002-9947(1993)338:2<639:WIWS>2.0.ZU;2-A
Abstract
Mallat's construction, via a multiresolution approximation, of orthono rmal wavelets generated by a single function is extended to wavelets g enerated by a finite set of functions. The connection between multires olution approximation and the concept of wandering subspaces of unitar y operators in Hilbert space is exploited in the general setting. An e xample of multiresolution approximation generated by cardinal Hermite B-splines is constructed.