On the uniqueness of canonical points in the Hobby-Rice theorem期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On the uniqueness of canonical points in the Hobby-Rice theorem

Authors:

András Kroó

Institution:

1. Mathematical Institute of the Hungarian Academy of Sciences, Reáltanoda u. 13-15, H-1053, Budapest, Hungary

Abstract:

According to the Hobby-Rice theorem for anyn-dimensional subspaceU _n ofL ₁(a, b], ) ( positive, finite, nonatomic) there exist points agr

=s ₀x ₁

x _m+1=b, where 0

mn, such that

$\sum\limits_{j = 0}^m {( - 1)^j \int_{x_j }^{x_{j + 1} } {udv = 0,u \in U_n .} }$

Keywords:	AMS classification" target="_blank">AMS classification 41A45
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