The topics in measure theory and real analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Atlantis Press [u.a.]
2009
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| Series: | Atlantis studies in mathematics
2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 461 S. |
| ISBN: | 9078677201 9789078677208 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Topics in measure theory and real analysis
Autor: Charazišvili, Aleksandr B
Jahr: 2009
Contents
Preface v
1. The problem of extending partial functions.................. 1
2. Some aspects of the measure extension problem............... 19
3. Invariant measures...............................39
4. Quasi-invariant measures...........................63
5. Measurability properties of real-valued functions...............79
6. Some properties of step-functions connected with extensions of measures . . 97
7. Almost measurable real-valued functions...................Ill
8. Several facts from general topology......................125
9. Weakly metrically transitive measures and nonmeasurable sets .......145
10. Nonmeasurable subgroups of uncountable solvable groups.........159
11. Algebraic sums of measure zero sets.....................177
12. The absolute nonmeasurability of Minkowski s sum of certain universal
measure zero sets..............................199
13. Absolutely nonmeasurable additive Sierpitìski-Zygmund functions.....215
14. Relatively measurable Sierpinski-Zygmund functions............227
15. A nonseparable extension of the Lebesgue measure without new null-sets . 241
16. Metrical transitivity and nonseparable extensions of invariant measures . .257
17. Nonseparable left invariant measures on uncountable solvable groups . . .269
18. Universally measurable additive functionals.................281
19. Some subsets of the Euclidean plane.....................297
20. Restrictions of real-valued functions.....................313
Appendix 1. Some set-theoretical facts and constructions............339
Appendix 2. The Choquet theorem and measurable selectors..........359
xiii
xiv Topics in Measure Theory and Real Analysis
Appendix 3. Borei measures on metric spaces..................383
Appendix 4. Continuous nowhere approximately differentiable functions . . . 397
Appendix 5. Some facts from the theory of commutative groups........411
Appendix 6. Elements of descriptive set theory.................423
Bibliography 447
Subject Index 457
|
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| author | Charazišvili, Aleksandr Bežanovič 1949- |
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| discipline | Mathematik |
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| id | DE-604.BV035980779 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:08:58Z |
| institution | BVB |
| isbn | 9078677201 9789078677208 |
| language | English |
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| owner | DE-824 |
| owner_facet | DE-824 |
| physical | XVI, 461 S. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Atlantis Press [u.a.] |
| record_format | marc |
| series | Atlantis studies in mathematics |
| series2 | Atlantis studies in mathematics |
| spelling | Charazišvili, Aleksandr Bežanovič 1949- Verfasser (DE-588)1058151622 aut The topics in measure theory and real analysis Alexander B. Kharazishvili Amsterdam [u.a.] Atlantis Press [u.a.] 2009 XVI, 461 S. txt rdacontent n rdamedia nc rdacarrier Atlantis studies in mathematics 2 Functional analysis Measure theory Maßtheorie (DE-588)4074626-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 s DE-604 Atlantis studies in mathematics 2 (DE-604)BV044346793 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018874701&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Charazišvili, Aleksandr Bežanovič 1949- The topics in measure theory and real analysis Atlantis studies in mathematics Functional analysis Measure theory Maßtheorie (DE-588)4074626-4 gnd |
| subject_GND | (DE-588)4074626-4 |
| title | The topics in measure theory and real analysis |
| title_auth | The topics in measure theory and real analysis |
| title_exact_search | The topics in measure theory and real analysis |
| title_full | The topics in measure theory and real analysis Alexander B. Kharazishvili |
| title_fullStr | The topics in measure theory and real analysis Alexander B. Kharazishvili |
| title_full_unstemmed | The topics in measure theory and real analysis Alexander B. Kharazishvili |
| title_short | The topics in measure theory and real analysis |
| title_sort | the topics in measure theory and real analysis |
| topic | Functional analysis Measure theory Maßtheorie (DE-588)4074626-4 gnd |
| topic_facet | Functional analysis Measure theory Maßtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018874701&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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