SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING
In this work the authors develop the n-dimensional sinc function theory in the several complex variables setting. In terms of the corresponding Paley-Wiener theorem the exact sinc interpolation and quadrature are established. Exponential convergence rate of the error estimates for band-limited funct...
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| Veröffentlicht in: | Acta mathematica scientia 2005-10, Vol.25 (4), p.741-754 |
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| container_title | Acta mathematica scientia |
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| creator | 高洁欣 钱涛 |
| description | In this work the authors develop the n-dimensional sinc function theory in the several complex variables setting. In terms of the corresponding Paley-Wiener theorem the exact sinc interpolation and quadrature are established. Exponential convergence rate of the error estimates for band-limited functions in n-dimensional strips are obtained. |
| doi_str_mv | 10.1016/S0252-9602(17)30214-X |
| format | Article |
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| fulltext | fulltext |
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| ispartof | Acta mathematica scientia, 2005-10, Vol.25 (4), p.741-754 |
| issn | 0252-9602 1572-9087 |
| language | eng |
| recordid | cdi_wanfang_journals_sxwlxb_e200504019 |
| source | ScienceDirect Journals (5 years ago - present); Alma/SFX Local Collection |
| subjects | 30D10 42B35 62D05 harmonic analysis Paley-Wiener理论 Shannon sampling Shannon取样 sinc function Sinc函数 误差估计 谐函数分析 |
| title | SHANNON SAMPLING AND ESTIMATION OF BAND-LIMITED FUNCTIONS IN THE SEVERAL COMPLEX VARIABLES SETTING |
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