Nonabsolute integration on measure spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey [und 8 weitere]
World Scientific
[2018]
|
| Series: | Series in real analysis
vol. 14 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xviii, 228 Seiten |
| ISBN: | 9789813221963 |
Staff View
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Record in the Search Index
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| adam_text | Contents Foreword Preface Synopsis 1. 2. A Nonabsolute Integral on Measure Spaces vii ix xiii 1 1.1 Preliminaries ........................................................... 1.2 Existence ofa Division andthe Я-Integral.... 1.3 Simple Properties of the Я-Integral...................... 2 10 22 The Absolute //-Integral and the McShane-Type Integrals 39 2.1 The Absolute Я-Integral and theM-Integral ... 40 2.2 The Я-Integral and the Lebesgue Integral .... 55 2.3 The Davies Integral and the Davies-McShane Integral .................................................................... 60 3. Further Results of the Я-Integral 71 3.1 A Necessary and Sufficient Condition for Я-Integrability........................................................ 72
3.2 Generalised Absolute Continuity and Equiintegrability .................................................... 81 3.3 The Controlled Convergence Theorem.....................113 4. The Radon-Nikodým Theorem for the Я-Integral 131 4.1 The Main Theorem................................................... 132 4.2 Descriptive Definition of the Я-Integral..................145 4.3 Henstock Integration in the Euclidean Space . . . 151 5. Harnack Extension and Convergence Theorems for the Я-Integral 5.1 5.2 5.3 5.4 159 The Я-Integral on Metric Spaces...........................159 Harnack Extension for the Я-Integral.....................162 The Category Argument.......................................... 169 An Improved Version of the Controlled Convergence Theorem ............................................. 186 Bibliography 203 Glossary 209 Index 225
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:55:18Z |
| institution | BVB |
| isbn | 9789813221963 |
| language | English |
| lccn | 017005549 |
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| physical | xviii, 228 Seiten |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | World Scientific |
| record_format | marc |
| series | Series in real analysis |
| series2 | Series in real analysis |
| spelling | Ng, Wee Leng Verfasser (DE-588)1151262609 aut Nonabsolute integration on measure spaces Ng Wee Leng (Nanyang Technological University, Singapore) New Jersey [und 8 weitere] World Scientific [2018] © 2018 xviii, 228 Seiten txt rdacontent n rdamedia nc rdacarrier Series in real analysis vol. 14 Numerical integration Integrals Henstock-Kurzweil integral Integrals, Generalized Algebraic spaces Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Henstock-Integration (DE-588)4159545-2 gnd rswk-swf Henstock-Integration (DE-588)4159545-2 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Series in real analysis vol. 14 (DE-604)BV001898092 14 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029936327&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ng, Wee Leng Nonabsolute integration on measure spaces Series in real analysis Numerical integration Integrals Henstock-Kurzweil integral Integrals, Generalized Algebraic spaces Algebraische Geometrie (DE-588)4001161-6 gnd Henstock-Integration (DE-588)4159545-2 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4159545-2 |
| title | Nonabsolute integration on measure spaces |
| title_auth | Nonabsolute integration on measure spaces |
| title_exact_search | Nonabsolute integration on measure spaces |
| title_full | Nonabsolute integration on measure spaces Ng Wee Leng (Nanyang Technological University, Singapore) |
| title_fullStr | Nonabsolute integration on measure spaces Ng Wee Leng (Nanyang Technological University, Singapore) |
| title_full_unstemmed | Nonabsolute integration on measure spaces Ng Wee Leng (Nanyang Technological University, Singapore) |
| title_short | Nonabsolute integration on measure spaces |
| title_sort | nonabsolute integration on measure spaces |
| topic | Numerical integration Integrals Henstock-Kurzweil integral Integrals, Generalized Algebraic spaces Algebraische Geometrie (DE-588)4001161-6 gnd Henstock-Integration (DE-588)4159545-2 gnd |
| topic_facet | Numerical integration Integrals Henstock-Kurzweil integral Integrals, Generalized Algebraic spaces Algebraische Geometrie Henstock-Integration |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029936327&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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