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Please use this identifier to cite or link to this item:http://hdl.handle.net/10281/21530
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| Authors: | Bacchelli, B |
| Title: | Some notes on MRA with Polyharmonic Splines |
| English abstract: | It is known that multiresolution analysis (MRA) of L2(ℝ d) can be made by using polyharmonic spline functions. These are tempered distributions which are annihilated by the iterate of the Laplacian operator in the complement of a discrete set and which admit continuous derivatives up to some order r. Here we prove that the admissible derivatives of the cardinal Lagrangian polyharmonic spline have exponential decay, deducing the r-regularity of the MRA for any acceptable dilation matrix. |
| Keywords: | Multiresolution; Regularity; Polyharmonic splines |
| MIUR Subject : | Settore MAT/05 - Analisi Matematica |
| ISO Language : | eng |
| Conference Name: | Numerical Analysis and Applied Mathematics, International Conference 2010 (ICNAAM 2010)
Rhodes, Greece, 19-25 September 2010 |
| Conference Place: | Rhodes, Greece |
| Conference Date: | 2010 |
| Sponsorship: | Simos, TE, Psihoyios, G, Tsitouras, Ch |
| Circulation: | Rilevanza internazionale |
| Type of paper: | contributo |
| Presentation Date: | 2010 |
| Referee: | Sì, ma tipo non specificato |
| Issue Date: | 2010 |
| DOI: | 10.1063/1.3498525 |
| Citation: | Bacchelli, B. (2010). Some notes on MRA with Polyharmonic Splines. In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010, T. E. Simos, G.Psihoyios, and Ch.Tsitouras (eds.) (pp.516-519). American Institute of Physics. |
| Appears in Collections: | DIPARTIMENTO DI MATEMATICA E APPLICAZIONI >02 - Intervento a convegno
Pubblicazioni >02 - Intervento a convegno
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