Henstock-kurzweil Integration On Euclidean Spaces

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A01=Tuo Yeong Lee
Author_Tuo Yeong Lee
Category=PBKB
Category=PBKL
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Fourier Series
Henstock Variational Measure
Henstock-Kurzweil Integral
HenstockAcAEURA"Kurzweil Integral
Henstock–Kurzweil Integral
Multipliers
Trigonometric Series

Product details

  • ISBN 9789814324588
  • Publication Date: 18 Mar 2011
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the powerful Lebesgue integral. This book presents an introduction of the multiple Henstock-Kurzweil integral. Along with the classical results, this book contains some recent developments connected with measures, multiple integration by parts, and multiple Fourier series. The book can be understood with a prerequisite of advanced calculus.

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