Integrability, Measurability, and Summability of Certain Set Functions

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The purpose of this paper is to investigate the integrability, measurability, and summability of certain set functions. The paper is divided into four chapters. The first chapter contains basic definitions and preliminary remarks about set functions and absolute continuity. In Chapter i, the integrability of bounded set functions is investigated. The chapter culminates with a theorem that characterizes the transmission of the integrability of a real function of n bounded set functions. In Chapter III, measurability is defined and a characterization of the transmission of measurability by a function of n variables is provided, In Chapter IV, summability is defined ... continued below

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70 leaves

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Dawson, Dan Paul December 1977.

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  • Dawson, Dan Paul

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The purpose of this paper is to investigate the integrability, measurability, and summability of certain set functions.
The paper is divided into four chapters. The first chapter contains basic definitions and preliminary remarks about set functions and absolute continuity.
In Chapter i, the integrability of bounded set functions is investigated. The chapter culminates with a theorem that characterizes the transmission of the integrability of a real function of n bounded set functions.
In Chapter III, measurability is defined and a characterization of the transmission of measurability by a function of n variables is provided,
In Chapter IV, summability is defined and the summability of set functions is investigated, Included is a characterization of the transmission of summability by a function of n variables.

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70 leaves

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  • December 1977

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  • May 10, 2015, 6:16 a.m.

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  • Aug. 10, 2016, 10:33 p.m.

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Dawson, Dan Paul. Integrability, Measurability, and Summability of Certain Set Functions, thesis, December 1977; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc504032/: accessed August 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .