THE INTEGRAL ANALOG OF A SERIES WITH A TWO-POINT SUM RANGE

O. S. Osipov

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THE INTEGRAL ANALOG OF A SERIES WITH A TWO-POINT SUM RANGE

机译：两点和范围的系列的积分模拟

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摘要

We consider an improper integral corresponding to the series with a two-point sum range which was constructed by Kornilov in the space of integrable functions. We verify that the sum range of the integral is equal to the set of all constant functions.

机译：我们考虑了由科尔尼洛夫在可积函数空间中构造的，具有两点和范围的级数对应的不适当积分。我们验证积分的和范围等于所有常数函数的集合。

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来源
《Siberian Mathematical Journal》 |2009年第6期|共8页
作者
O. S. Osipov;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
rearrangement of a series; rearrangement of an integral; Lebesgue–Bochner integral; sum range of a series; sum range of an improper integral;

机译：系列的重排;积分的重排;Lebesgue-Bochner积分;系列的和范围;不适当的积分的和范围;

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专利

1. THE INTEGRAL ANALOG OF A SERIES WITH A TWO-POINT SUM RANGE [J] . O. S. Osipov Siberian Mathematical Journal . 2009,第6期

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THE INTEGRAL ANALOG OF A SERIES WITH A TWO-POINT SUM RANGE

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