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- Publisher Website: 10.1006/acha.1999.0265
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Article: Compactly Supported Orthogonal Symmetric Scaling Functions
| Title | Compactly Supported Orthogonal Symmetric Scaling Functions |
|---|---|
| Authors | |
| Keywords | Wavelets; orthogonal scaling function; symmetric scaling function |
| Issue Date | 1999 |
| Citation | Applied and Computational Harmonic Analysis, 1999, v. 7, n. 2, p. 137-150 How to Cite? |
| Abstract | Daubechies (1988, Comm. Pure Appl. Math.41, 909-996) showed that, except for the Haar function, there exist no compactly supported orthogonal symmetric scaling functions for the dilation q = 2. Nevertheless, such scaling functions do exist for dilations q>2 (as evidenced by Chui and Lian's construction (1995, Appl. Comput. Harmon. Anal.2, 68-84) for q = 3); these functions are the main object of this paper. We construct new symmetric scaling functions and introduce the "Batman" family of continuous symmetric scaling functions with very small supports. We establish the exact smoothness of the "Batman" scaling functions using the joint spectral radius technique. © 1999 Academic Press. |
| Persistent Identifier | http://hdl.handle.net/10722/363704 |
| ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 2.231 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Belogay, Eugene | - |
| dc.contributor.author | Wang, Yang | - |
| dc.date.accessioned | 2025-10-10T07:48:42Z | - |
| dc.date.available | 2025-10-10T07:48:42Z | - |
| dc.date.issued | 1999 | - |
| dc.identifier.citation | Applied and Computational Harmonic Analysis, 1999, v. 7, n. 2, p. 137-150 | - |
| dc.identifier.issn | 1063-5203 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/363704 | - |
| dc.description.abstract | Daubechies (1988, Comm. Pure Appl. Math.41, 909-996) showed that, except for the Haar function, there exist no compactly supported orthogonal symmetric scaling functions for the dilation q = 2. Nevertheless, such scaling functions do exist for dilations q>2 (as evidenced by Chui and Lian's construction (1995, Appl. Comput. Harmon. Anal.2, 68-84) for q = 3); these functions are the main object of this paper. We construct new symmetric scaling functions and introduce the "Batman" family of continuous symmetric scaling functions with very small supports. We establish the exact smoothness of the "Batman" scaling functions using the joint spectral radius technique. © 1999 Academic Press. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Applied and Computational Harmonic Analysis | - |
| dc.subject | Wavelets; orthogonal scaling function; symmetric scaling function | - |
| dc.title | Compactly Supported Orthogonal Symmetric Scaling Functions | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1006/acha.1999.0265 | - |
| dc.identifier.scopus | eid_2-s2.0-0000371616 | - |
| dc.identifier.volume | 7 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | 137 | - |
| dc.identifier.epage | 150 | - |