Henstock-kurzweil Integration On Euclidean Spaces
Seiten
2011
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4324-58-8 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4324-58-8 (ISBN)
The Henstock-Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral. This book presents an introduction of the multiple Henstock-Kurzweil integral. It covers the developments connected with measures, multiple integration by parts, and multiple Fourier series.
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.
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.
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.
| Reihe/Serie | Series In Real Analysis ; 12 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 981-4324-58-2 / 9814324582 |
| ISBN-13 | 978-981-4324-58-8 / 9789814324588 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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