Henstock-kurzweil Integration On Euclidean Spaces

Tuo Yeong Lee (Nie, Ntu, S'pore)

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English

World Scientific Publishing Co Pte Ltd
18 March 2011

Real analysis, real variables; Integral calculus & equations

Series: Series In Real Analysis

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.

By: Tuo Yeong Lee (Nie Ntu S'pore)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 12
Dimensions: Height: 226mm, Width: 157mm, Spine: 23mm
Weight: 612g
ISBN: 9789814324588
ISBN 10: 9814324582
Series: Series In Real Analysis
Pages: 324
Publication Date: 18 March 2011
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

The One-Dimensional Henstock-Kurzweil Integral; The Multiple Henstock-Kurzweil Integral; Lebesgue Integrable Functions; Further Properties of Henstock-Kurzweil Integrable Functions; The Henstock Variational Measure; Multipliers for the Henstock-Kurzweil Integral; Some Selected Topics in Trigonometric Series; Some Applications of the Henstock-Kurzweil Integral to Double Trigonometric Series.

Reviews for Henstock-kurzweil Integration On Euclidean Spaces

"Each argument is well presented, the proofs are detailed and each chapter ends with a useful indication of the historical development of the relative theory. Much of the material of this book is accessible to graduate students with the only prerequisite being advanced calculus. -- Mathematical Reviews ""Mathematical Reviews"""