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Examples of refinable componentwise polynomials |
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| Authors: | Ning Bi Bin Han Zuowei Shen |
| Institution: | aDepartment of Scientific Computing and Computer Applications, Sun Yat-Sen University, Guangzhou, 510275, China;bDepartment of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Canada T6G 2G1;cDepartment of Mathematics, National University of Singapore, Science Drive 2, Singapore 117543 |
| Abstract: | This short note presents four examples of compactly supported symmetric refinable componentwise polynomial functions: (i) a componentwise constant interpolatory continuous refinable function and its derived symmetric tight wavelet frame; (ii) a componentwise constant continuous orthonormal and interpolatory refinable function and its associated symmetric orthonormal wavelet basis; (iii) a differentiable symmetric componentwise linear polynomial orthonormal refinable function; (iv) a symmetric refinable componentwise linear polynomial which is interpolatory and differentiable. |
| Keywords: | Componentwise polynomial Symmetric refinable function Orthogonality Interpolation |
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