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arXiv 1508.00409math.FA
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导数不连续函数的Shearlet逼近

Shearlet approximation of functions with discontinuous derivatives

Philipp Petersen

摘要:

我们表明,剪切波系统产生优越的$N$ -长期的逼近率相比,小波系统的功能,其一阶或高阶导数光滑的不连续曲线。我们还将提供一个改进的估计剪切波系数的衰减,非切向相交的不连续曲线。

英文摘要:

We demonstrate that shearlet systems yield superior $N$-term approximation rates compared with wavelet systems of functions whose first or higher order derivatives are smooth away from smooth discontinuity curves. We will also provide an improved estimate for the decay of shearlet coefficients that intersect a discontinuity curve non-tangentially.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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