| Title:
|
Matrix refinement equations: Continuity and smoothness (English) |
| Author:
|
He, Xing-Gang |
| Author:
|
Liu, Chun-Tai |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2007 |
| Pages:
|
747-762 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we give some criteria for the existence of compactly supported $C^{k+\alpha }$-solutions ($k$ is an integer and $0\le \alpha <1$) of matrix refinement equations. Several examples are presented to illustrate the general theory. (English) |
| Keyword:
|
matrix refinement equation |
| Keyword:
|
continuity |
| Keyword:
|
smoothness |
| Keyword:
|
iteration |
| Keyword:
|
multi-wavelet |
| MSC:
|
39B12 |
| MSC:
|
39B42 |
| MSC:
|
42C40 |
| idZBL:
|
Zbl 1174.42043 |
| idMR:
|
MR2337628 |
| . |
| Date available:
|
2009-09-24T11:49:10Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128203 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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