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Título: Henstock-Kurzweil Integration On Euclidean Spaces (Vol. 12) | |
Autor: Tuo Yeong, Lee | Precio: $1305.00 | |
Editorial: World Scientific Publishing Co. Inc | Año: 2011 | |
Tema: Matematicas | Edición: 1ª | |
Sinopsis | ISBN: 9789814324588 | |
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 |