Report
Some Generalizations of the Hellinger Theorem for Second Order Difference Equations with Matrix Elements
| العنوان: | Some Generalizations of the Hellinger Theorem for Second Order Difference Equations with Matrix Elements |
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| المؤلفون: | Osipov, A. S. |
| سنة النشر: | 2013 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Spectral Theory, 47B36, 39A11 |
| الوصف: | We obtain several generalizations the Hellinger theorem about $l^2$ solutions of difference equations: instead of second order equations and $ l^2$-solutions, we consider second-order equations with matrix coefficients and their solutions in $l^p,\; 1\le p\le \infty$. In particular it is shown that for a certain class of symmetric difference equations an analog of this theorem holds for $1\le p \le 2$, but it does not hold for $p>2$. Comment: 10 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1312.2196 |
| رقم الانضمام: | edsarx.1312.2196 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |