| Autor: |
Hangelbroek, Thomas, Madych, Wolodymyr, Narcowich, F. J., Ward, J. D. |
| Rok vydání: |
2010 |
| Předmět: |
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| Zdroj: |
Journal of Fourier Analysis and Applications: Volume 18, Issue 1 (2012), Page 67-86 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s00041-011-9185-2 |
| Popis: |
In this paper, interpolation by scaled multi-integer translates of Gaussian kernels is studied. The main result establishes $L_p$ Sobolev error estimates and shows that the error is controlled by the $L_p$ multiplier norm of a Fourier multiplier closely related to the cardinal interpolant, and comparable to the Hilbert transform. Consequently, its multiplier norm is bounded independent of the grid spacing when $1Comment: 18 pages |
| Databáze: |
arXiv |
| Externí odkaz: |
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