Axiomatic Method of Measure and Integration (I). Definition and Existence Theorem of the Jordan Measure (Yoshifumi Ito “Differential and Integral Calculus II”, Chapter 8)

Total for the last 12 months
number of access : ? 件
number of downloads : ?
Use this link to cite this item : https://repo.lib.tokushima-u.ac.jp/112900
ID 112900
Title Alternative
Axiomatic Method of Measure and Integration (I)
Author
Ito, Yoshifumi University of Tokushima Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Content Type
Departmental Bulletin Paper
Description
In this paper, we define the Jordan measure on Rd, (d ≥ 1) by prescribing the complete system of axioms. Then we prove the uniqueness and existence theorem of the Jordan measure. This is a new result.
Journal Title
Journal of Mathematics
ISSN
13467387
NCID
AA11595324
Publisher
TOKUSHIMA UNIVERSITY
Volume
52
Start Page
1
End Page
15
Sort Key
1
Published Date
2018
FullText File
jm_52_1.pdf 368 KB
language
eng
TextVersion
Publisher
departments
Science and Technology
Tokushima University　|　Research strategy of Tokushima University　|　Tokushima University Educator and Researcher Directory　|　Tokushima University Library
©2017 Tokushima University