ENGLISH

Introduction to Gauge Integrals

By Charles Swartz

Book information

Publisher
World Scientific
Year
2001
ISBN
9789812810656, 981281065X
Language
english
Format
DJVU
Filesize
951 kB (973906 bytes)
Pages
169\169
Library
Kolxo3
DPI
300
Time added
2012-12-29 17:00:00

Description

The purpose of this book is to describe a certain number of results involving the study of non-linear analytic dependence of some functionals arising naturally in P.D.E. or operator theory Introduction to the gauge or Henstock-Kurzweil integral; basic properties of the gauge integral; Henstock's Lemma and improper integrals; the gauge integral over unbounded intervals; convergence theorems; integration over more general sets -Lebesgue measure; the space of gauge integrable functions; multiple integrals and Fubini's theorem; the McShane integral; McShane integrability is equivalent to absolute Henstock-Kurzweil integrability

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