CONVERGENCE OF MULTIDIMENSIONAL CASCADE ALGORITHM

Authors
LAWTON W LEE SL SHEN ZW
Citation
W. Lawton et al., CONVERGENCE OF MULTIDIMENSIONAL CASCADE ALGORITHM, Numerische Mathematik, 78(3), 1998, pp. 427-438
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
78
Issue
3
Year of publication
1998
Pages
427 - 438
Database
ISI
SICI code
0029-599X(1998)78:3<427:COMCA>2.0.ZU;2-N
Abstract
A necessary and sufficient condition on the spectrum of the restricted transition operator is given for the convergence in L-2(R-d) of the m ultidimensional cascade algorithm for any starting function phi(o) who se shifts form a partition of unity.