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Henstock–Kurzweil Vector Distributions
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2020-10-27 , DOI: 10.1007/s00009-020-01612-5 Tomás Pérez-Becerra , Salvador Sánchez-Perales , Juan A. Escamilla-Reyna
中文翻译:
Henstock–Kurzweil向量分布
更新日期:2020-10-30
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2020-10-27 , DOI: 10.1007/s00009-020-01612-5 Tomás Pérez-Becerra , Salvador Sánchez-Perales , Juan A. Escamilla-Reyna
In this paper, we find the completion of the space of Henstock (respectively, Kurzweil) integrable vector-valued functions. Also we establish some properties of the vector distributional Henstock–Kurzweil integral. Fundamental theorem of calculus, integration by parts formula, monotone and dominated convergence theorems are given.
中文翻译:
Henstock–Kurzweil向量分布
在本文中,我们找到了可积向量值函数Henstock(分别为Kurzweil)的空间的完成。我们还建立了矢量分布Henstock-Kurzweil积分的一些性质。给出了微积分的基本定理,部分公式的积分,单调和占优收敛定理。