Problems and proofs in real analysis: theory of measure and integration
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2014
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Companion volume to: Yeh, James: Real analysis, theory of measure and integration, 3. ed. |
Beschreibung: | VIII, 491 S. |
ISBN: | 9789814578509 |
Internformat
MARC
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300 | |a VIII, 491 S. | ||
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337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
500 | |a Companion volume to: Yeh, James: Real analysis, theory of measure and integration, 3. ed. | ||
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Datensatz im Suchindex
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adam_text | Contents
VII
Contents
Preface..................................*..................................viii
§ 1 Measure on a a -algebra of Sets....................................... 1
§2 Outer Measures...........................................................43
§3 Lebesgue Measure on M,.................................................... 46
§4 Measurable Functions ....................................................78
§5 Completion of Measure Space................................................104
§6 Convergence a.e. and Convergence in Measure ...............................107
§7 Integration of Bounded Functions on Sets of Finite Measure.................132
§8 Integration of Nonnegative Functions.......................................160
§9 Integration of Measurable Functions...................................... 192
§10 Signed Measures....................................................... 266
§ 11 Absolute Continuity of a Measure....................................... 277
§12 Monotone Functions and Functions of Bounded Variation.....................290
§ 13 Absolutely Continuous Functions ....................................... 314
§16 The Lp Spaces .......................................................... 353
§ 17 Relation among the Lp Spaces......................................... 386
§18 Bounded Linear Functionals on the Lp Spaces............................. 424
§22 Lebesgue-Stieltjes Measure Spaces ...................................... 431
§23 Product Measure Spaces ...................................................443
§24 Lebesgue Measure Space on the Euclidean Space.............................466
§25 Differentiation on the Euclidean Space.................................. 473
|
any_adam_object | 1 |
author | Yeh, James 1927- |
author_GND | (DE-588)172470609 |
author_facet | Yeh, James 1927- |
author_role | aut |
author_sort | Yeh, James 1927- |
author_variant | j y jy |
building | Verbundindex |
bvnumber | BV041786642 |
classification_rvk | SK 420 |
ctrlnum | (OCoLC)880153545 (DE-599)OBVAC11338394 |
dewey-full | 515/.8 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.8 |
dewey-search | 515/.8 |
dewey-sort | 3515 18 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV041786642 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:05:21Z |
institution | BVB |
isbn | 9789814578509 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027232364 |
oclc_num | 880153545 |
open_access_boolean | |
owner | DE-824 DE-739 |
owner_facet | DE-824 DE-739 |
physical | VIII, 491 S. |
publishDate | 2014 |
publishDateSearch | 2014 |
publishDateSort | 2014 |
publisher | World Scientific |
record_format | marc |
spelling | Yeh, James 1927- Verfasser (DE-588)172470609 aut Problems and proofs in real analysis theory of measure and integration J. Yeh New Jersey [u.a.] World Scientific 2014 VIII, 491 S. txt rdacontent n rdamedia nc rdacarrier Companion volume to: Yeh, James: Real analysis, theory of measure and integration, 3. ed. Reelle Analysis (DE-588)4627581-2 gnd rswk-swf Integrationstheorie (DE-588)4138369-2 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 s Maßtheorie (DE-588)4074626-4 s Integrationstheorie (DE-588)4138369-2 s DE-604 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=027232364&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Yeh, James 1927- Problems and proofs in real analysis theory of measure and integration Reelle Analysis (DE-588)4627581-2 gnd Integrationstheorie (DE-588)4138369-2 gnd Maßtheorie (DE-588)4074626-4 gnd |
subject_GND | (DE-588)4627581-2 (DE-588)4138369-2 (DE-588)4074626-4 |
title | Problems and proofs in real analysis theory of measure and integration |
title_auth | Problems and proofs in real analysis theory of measure and integration |
title_exact_search | Problems and proofs in real analysis theory of measure and integration |
title_full | Problems and proofs in real analysis theory of measure and integration J. Yeh |
title_fullStr | Problems and proofs in real analysis theory of measure and integration J. Yeh |
title_full_unstemmed | Problems and proofs in real analysis theory of measure and integration J. Yeh |
title_short | Problems and proofs in real analysis |
title_sort | problems and proofs in real analysis theory of measure and integration |
title_sub | theory of measure and integration |
topic | Reelle Analysis (DE-588)4627581-2 gnd Integrationstheorie (DE-588)4138369-2 gnd Maßtheorie (DE-588)4074626-4 gnd |
topic_facet | Reelle Analysis Integrationstheorie Maßtheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027232364&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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