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Book synopsis

The main aim of this work is to explore the gauge integrals over Metric Measure Spaces, particularly the McShane and the Henstock-Kurzweil integrals. We prove that the McShane-integral is unaltered even if one chooses some other classes of divisions. We analyze the notion of absolute continuity of charges and its relation with the Henstock-Kurzweil integral. A measure theoretic characterization of the Henstock-Kurzweil integral on finite dimensional Euclidean Spaces, in terms of the full variational measure is presented, along with some partial results on Metric Measure Spaces. We conclude this manual with a set of questions on Metric Measure Spaces which are open for researchers.

Book details

Book category Books in English Mathematics & science Mathematics

• Full title: Gauge Integrals Over Metric Measure Spaces
• Author: Surinder Pal Singh
• Language: English
• Binding: Paperback
• Number of pages: 80
• EAN: 9783639705201
• ISBN: 3639705203
• ID: 07091690
• Publisher: Scholars' Press
• Weight: 127 g
• Dimensions: 229 × 152 × 5 mm
• Date of publishing: 04. January 2014

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