Measure, integration and function spaces:
This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitel...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1994
|
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitely additive set functions not contained in standard texts are explored. There is an introductory section on functional analysis, including the three basic principles, which is used to discuss many of the classic Banach spaces of functions and their duals. There is also a chapter on Hilbert space and the Fourier transform |
| Beschreibung: | x, 277 p. ill |
| ISBN: | 9789812794376 |
Internformat
MARC
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| 520 | |a This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitely additive set functions not contained in standard texts are explored. There is an introductory section on functional analysis, including the three basic principles, which is used to discuss many of the classic Banach spaces of functions and their duals. There is also a chapter on Hilbert space and the Fourier transform | ||
| 650 | 4 | |a Measure theory | |
| 650 | 4 | |a Function spaces | |
| 650 | 4 | |a Integrals, Generalized | |
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Datensatz im Suchindex
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| author | Swartz, Charles 1938- |
| author_GND | (DE-588)131653601 |
| author_facet | Swartz, Charles 1938- |
| author_role | aut |
| author_sort | Swartz, Charles 1938- |
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| dewey-full | 515.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.4 |
| dewey-search | 515.4 |
| dewey-sort | 3515.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635613 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812794376 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033585 |
| oclc_num | 1005231354 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | x, 277 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Swartz, Charles 1938- Verfasser (DE-588)131653601 aut Measure, integration and function spaces Charles Swartz Singapore World Scientific Pub. Co. c1994 x, 277 p. ill txt rdacontent c rdamedia cr rdacarrier This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitely additive set functions not contained in standard texts are explored. There is an introductory section on functional analysis, including the three basic principles, which is used to discuss many of the classic Banach spaces of functions and their duals. There is also a chapter on Hilbert space and the Fourier transform Measure theory Function spaces Integrals, Generalized Funktionenraum (DE-588)4134834-5 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Integration Mathematik (DE-588)4072852-3 gnd rswk-swf Integrationstheorie (DE-588)4138369-2 gnd rswk-swf Funktionenraum (DE-588)4134834-5 s Maßtheorie (DE-588)4074626-4 s 1\p DE-604 Integration Mathematik (DE-588)4072852-3 s 2\p DE-604 Integrationstheorie (DE-588)4138369-2 s 3\p DE-604 Erscheint auch als Druck-Ausgabe 9789810216108 Erscheint auch als Druck-Ausgabe 9810216106 http://www.worldscientific.com/worldscibooks/10.1142/2223#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Swartz, Charles 1938- Measure, integration and function spaces Measure theory Function spaces Integrals, Generalized Funktionenraum (DE-588)4134834-5 gnd Maßtheorie (DE-588)4074626-4 gnd Integration Mathematik (DE-588)4072852-3 gnd Integrationstheorie (DE-588)4138369-2 gnd |
| subject_GND | (DE-588)4134834-5 (DE-588)4074626-4 (DE-588)4072852-3 (DE-588)4138369-2 |
| title | Measure, integration and function spaces |
| title_auth | Measure, integration and function spaces |
| title_exact_search | Measure, integration and function spaces |
| title_full | Measure, integration and function spaces Charles Swartz |
| title_fullStr | Measure, integration and function spaces Charles Swartz |
| title_full_unstemmed | Measure, integration and function spaces Charles Swartz |
| title_short | Measure, integration and function spaces |
| title_sort | measure integration and function spaces |
| topic | Measure theory Function spaces Integrals, Generalized Funktionenraum (DE-588)4134834-5 gnd Maßtheorie (DE-588)4074626-4 gnd Integration Mathematik (DE-588)4072852-3 gnd Integrationstheorie (DE-588)4138369-2 gnd |
| topic_facet | Measure theory Function spaces Integrals, Generalized Funktionenraum Maßtheorie Integration Mathematik Integrationstheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2223#t=toc |
| work_keys_str_mv | AT swartzcharles measureintegrationandfunctionspaces |