تقرير
Divergence of general localized operators on the sets of measure zero
| العنوان: | Divergence of general localized operators on the sets of measure zero |
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| المؤلفون: | Karagulyan, G. A. |
| سنة النشر: | 2009 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 42A20 |
| الوصف: | We consider sequences of linear operators $U_nf(x)$ with localization property. It is proved that for any set $E$ of measure zero there exists a set $G$ for which $U_n\ZI_G(x)$ diverges at each point $x\in E$. This result is a generalization of analogous theorems known for the Fourier sums operators with respect to different orthogonal systems. Comment: 6 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0912.1453 |
| رقم الأكسشن: | edsarx.0912.1453 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |