Henstock-Kurzweil Integration on Euclidean Spaces

Preț: 336,00 lei
Disponibilitate: la comandă
ISBN: 9789814324588
Anul publicării: 2011
Pagini: 324

DESCRIERE

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.

Contents:

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

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