Local analysis of frame multiresolution analysis with a general dilation matrix

Cited 3 time in webofscience Cited 0 time in scopus
  • Hit : 208
  • Download : 0
A multivariate semi-orthogonal frame multiresolution analysis with a general integer dilation matrix and multiple scaling functions is considered. We first derive the formulas of the lengths of the initial (central) shift-invariant space V-0 and the next dilation space V-1, and, using these formulas, we then address the problem of the number of the elements of a wavelet set, that is, the length of the shift-invariant space W-0 := V-1 circle minus V-0. Finally, we show that there does not exist a 'genuine' frame multiresolution analysis for which V-0 and V-1 axe quasi-stable spaces satisfying the usual length condition.
Publisher
CAMBRIDGE UNIV PRESS
Issue Date
2003-04
Language
English
Article Type
Article
Keywords

SHIFT-INVARIANT SUBSPACES; BASES; L(2)(R(D))

Citation

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v.67, no.2, pp.285 - 295

ISSN
0004-9727
URI
http://hdl.handle.net/10203/81622
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 3 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0