Henstock-Kurzweil integration on Euclidean spaces /
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...
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| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
New Jersey :
World Scientific,
©2011.
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| Series: | Series in real analysis ;
v. 12. |
| Subjects: | |
| Online Access: | CONNECT CONNECT |
| Summary: | 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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| Physical Description: | 1 online resource (ix, 314 pages). |
| Bibliography: | Includes bibliographical references (pages 295-303) and index. |
| ISBN: | 9789814324595 9814324590 |
