ON FUNCTIONS OF BOUNDED SEMIVARIATION

Giselle A. Monteiro

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ON FUNCTIONS OF BOUNDED SEMIVARIATION

机译：关于有界半化的函数

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摘要

The concept of bounded variation has been generalized in many ways. In the frame of functions taking values in Banach space, the concept of bounded semivariation is an important generalization. The aim of this paper is to provide an accessible summary of this notion, to illustrate it with an appropriate body of examples, and to outline its connection with the integration theory due to Kurzweil.

机译：有界变化的概念已通过多种方式得到了概括。在Banach空间中取值的函数框架中，有界半变量的概念是一个重要的概括。本文的目的是提供有关此概念的易于理解的摘要，以适当的示例实例对其进行说明，并概述其与Kurzweil提出的集成理论的联系。

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来源
《Real analysis exchange》 |2015年第2期|233-276|共44页
作者
Giselle A. Monteiro;
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作者单位

Institute of Mathematics, Academy of Sciences of the Czech Republic, Zitna 25, 115 67 Praha 1, Czech Republic;

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原文格式 PDF
正文语种 eng
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关键词
semivariation; functions of bounded variation; regulated functions; Kurzweil integral; Perron-Stieltjes integral;

机译：半变异有界变化的功能;调节功能;Kurzweil积分;Perron-Stieltjes积分;

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专利

1. VECTOR MEASURES OF BOUNDED SEMIVARIATION AND ASSOCIATED CONVOLUTION OPERATORS [J] . PAULETTE SAAB and MANGATIANA A. ROBDERA Glasgow Mathematical Journal . 2011,第2期

机译：有界半化和相关卷积算子的向量度量
2. VECTOR MEASURES OF BOUNDED SEMIVARIATION AND ASSOCIATED CONVOLUTION OPERATORS [J] . PAULETTE SAAB, MANGATIANA A. ROBDERA Glasgow Mathematical Journal . 2011,第2期

机译：有界半化和相关卷积算子的向量度量
3. Regularized Semigroups of Bounded Semivariation [J] . Ralph deLaubenfels, Fuyuan Yao Semigroup Forum . 1997,第1期

机译：有界半变异的正规化半群
4. Resource Augmentation Bounds for Approximate Demand Bound Functions [C] . Chen Jian-Jia, Chakraborty Samarjit 2011 32nd IEEE Real-Time Systems Symposium . 2011

机译：近似需求界函数的资源扩充界
5. The bounded linear calculus: A characterization of the class of polynomial-time computable functions based on bounded linear logic [D] . Pitt, Francois 1994

机译：有界线性演算：基于有界线性逻辑的多项式时间可计算函数的表征
6. Membrane-bound p35 Subunit of IL-12 on Tumor Cells is Functionally Equivalent to Membrane-bound Heterodimeric Single Chain IL-12 for Induction of Anti-tumor Immunity [O] . Hyun-Jin Kim, Sang Min Park, Hayyoung Lee, 2016

机译：IL-12在肿瘤细胞上的膜结合p35亚基在功能上等同于膜结合异二聚单链IL-12以诱导抗肿瘤免疫力。
7. Operator-valued functions of bounded semivariation and convolutions [O] . Štefan Schwabik 2001

机译：有界半导体和卷积的操作员值函数

ON FUNCTIONS OF BOUNDED SEMIVARIATION

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