Additive and bounded functions of curves

Simple item page
dc.creatorMaria, Alfred Josephen_US
dc.date.accessioned2018-12-18T21:26:42Zen_US
dc.date.available2018-12-18T21:26:42Zen_US
dc.date.issued1923en_US
dc.descriptionText includes handwritten formulasen_US
dc.description.abstractIn the present paper we apply the analysis of Vitali to functions of curves of limited variation* To determine the structure of functions of limited variation we associate with every finite function an additive function, called a discard. This discard measures, in a true manner, the quantity by which the function ceases to be absolutely continuous. We demonstrate that the property which characterizes a discard is that the discard coincide with its own discard. We prove the theorem that every function of limited variation can be decomposed into the sum of a function of point values, a continuous function and a finite or infinite number of elementary discards each multiplied by a constant. Finally use is made of the preceding results to find the structure of a function of limited variation hut having no point values.en_US
dc.format.digitalOriginreformatted digitalen_US
dc.format.extent24 ppen_US
dc.identifier.callnoThesis Math. 1923 Mariaen_US
dc.identifier.citationMaria, Alfred Joseph. "Additive and bounded functions of curves." (1923) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/104609">https://hdl.handle.net/1911/104609</a>.en_US
dc.identifier.digitalRICE2244en_US
dc.identifier.urihttps://hdl.handle.net/1911/104609en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.titleAdditive and bounded functions of curvesen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
RICE2244.pdf
Size:
1.06 MB
Format:
Adobe Portable Document Format
Download
Collections
Rice University Theses and Dissertations