Negligible Variation, Change of Variables, and a Smooth Analog of the Hobby-Rice Theorem
This dissertation concerns two topics in analysis. The rst section is an exposition of the Henstock-Kurzweil integral leading to a necessary and su cient condition for the change of variables formula to hold, with implications for the change of variables formula for the Lebesgue integral. As a c...
Other Authors: | Rutherfoord, Vermont Charles (author) |
---|---|
Format: | Others |
Language: | English |
Published: |
Florida Atlantic University
|
Subjects: | |
Online Access: | http://purl.flvc.org/fau/fd/FA00004627 |
Similar Items
-
On a generalization of Henstock-Kurzweil integrals
by: Jan Malý, et al.
Published: (2019-12-01) -
Variational Henstock integrability of Banach space valued functions
by: Luisa Di Piazza, et al.
Published: (2016-07-01) -
Integration by parts for the L^r Henstock-Kurzweil integral
by: Paul Musial, et al.
Published: (2015-02-01) -
An Existence Theorem for Differential Inclusions Using the Kurzweil Integral
by: Priscilla Supnet Macansantos
Published: (1998-06-01) -
Some Properties of the Perron Integral
by: McWhorter, Bobby J.
Published: (1955)