Wavelets on a bounded interval /
| Main Authors: | , |
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| Corporate Authors: | , , |
| Format: | Book |
| Language: | English |
| Published: |
College Station, Texas :
Center for Approximation Theory, Department of Mathematics, Texas A & M University,
1992.
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| Series: | CAT report ;
no. 265. |
| Subjects: |
| Abstract: | The aim of this paper is to present two different approaches to the study of multiresolution analysis and wavelets on a bounded interval. Recently, Meyer obtained orthonormal wavelets on a bounded interval by restricting Daubechies' scaling functions and wavelets to [0, 1] and applying the Gram-Schmidt procedure to orthonormalize the restrictions. Our own approach - presented in the second part of the paper - is based on the semi-orthogonal Chui-Wang spline-wavelets. In this case we no longer have orthogonality in one scale, but there are explicit formulae for these wavelets. |
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| Item Description: | "March 1992." "Dedicated to the memory of Lothar Collatz"--Page 1. Offprint: Numerical methods in approximation theory. Volume 9 / edited by D. Braess, L.L. Schumaker. Funding information taken from page 22. One of the Cushing/Texas A&M Pubs. copies is bound as 30 leaves, with bibliographical references on leaf 30 and funding information on leaf 26. |
| Physical Description: | 23 pages : illustrations ; 28 cm |
| Bibliography: | Includes bibliographical references (pages 22-23). |