Open Access
2011 Kurzweil-Henstock Integration on Manifolds
Varayu Boonpogkrong
Taiwanese J. Math. 15(2): 559-571 (2011). DOI: 10.11650/twjm/1500406221

Abstract

In this paper, we give an alternative proof that the Kurzweil-Henstock integral using partition of unity is equivalent to the Lebesgue integral in the $n$-dimensional Euclidean space. We also define and discuss the Kurzweil-Henstock integral on manifolds.

Citation

Download Citation

Varayu Boonpogkrong. "Kurzweil-Henstock Integration on Manifolds." Taiwanese J. Math. 15 (2) 559 - 571, 2011. https://doi.org/10.11650/twjm/1500406221

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1234.26020
MathSciNet: MR2810168
Digital Object Identifier: 10.11650/twjm/1500406221

Subjects:
Primary: 26A39

Keywords: Manifolds , partition of unity , the K-H integral

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 2 • 2011
Back to Top