Holdings: The theory of measures and integration

The theory of measures and integration:

Saved in:

Bibliographic Details
Main Author:	Vestrup, Eric M. (Author)
Format:	Book
Language:	English
Published:	Hoboken, NJ Wiley-Interscience 2003
Series:	Wiley series in probability and statistics
Subjects:	Integralen Intégrales généralisées Maattheorie Mesure, Théorie de la aMeasure theory aIntegrals, Generalized Integrationstheorie Maßtheorie
Online Access:	Biographische Angaben Informationen des Verlegers Inhaltsverzeichnis Inhaltsverzeichnis
Physical Description:	XVII, 594 S.
ISBN:	0471249777

Staff View

MARC


LEADER	00000nam a2200000zc 4500
001	BV019386224
003	DE-604
005	20131024
007	t
008	040908s2003 xxu \|\|\|\| 00\|\|\| eng d
010			\|a 2003053475
020			\|a 0471249777 \|c acidfree paper \|9 0-471-24977-7
035			\|a (OCoLC)52288818
035			\|a (DE-599)BVBBV019386224
040			\|a DE-604 \|b ger \|e aacr
041	0		\|a eng
044			\|a xxu \|c US
049			\|a DE-703 \|a DE-634
050		0	\|a QA325
082	0		\|a 515/.42 \|2 21
084			\|a SK 430 \|0 (DE-625)143239: \|2 rvk
100	1		\|a Vestrup, Eric M. \|e Verfasser \|4 aut
245	1	0	\|a The theory of measures and integration \|c Eric M. Vestrup
246	1	3	\|a Measure theory and its applications
264		1	\|a Hoboken, NJ \|b Wiley-Interscience \|c 2003
300			\|a XVII, 594 S.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Wiley series in probability and statistics
650		7	\|a Integralen \|2 gtt
650		4	\|a Intégrales généralisées
650		7	\|a Maattheorie \|2 gtt
650		4	\|a Mesure, Théorie de la
650		4	\|a aMeasure theory
650		4	\|a aIntegrals, Generalized
650	0	7	\|a Integrationstheorie \|0 (DE-588)4138369-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Maßtheorie \|0 (DE-588)4074626-4 \|2 gnd \|9 rswk-swf
689	0	0	\|a Maßtheorie \|0 (DE-588)4074626-4 \|D s
689	0		\|5 DE-604
689	1	0	\|a Integrationstheorie \|0 (DE-588)4138369-2 \|D s
689	1		\|5 DE-604
856	4		\|u http://www.loc.gov/catdir/bios/wiley044/2003053475.html \|3 Biographische Angaben
856	4		\|u http://www.loc.gov/catdir/description/wiley037/2003053475.html \|3 Informationen des Verlegers
856	4		\|u http://www.loc.gov/catdir/toc/wiley032/2003053475.html \|3 Inhaltsverzeichnis
856	4	2	\|m HEBIS Datenaustausch Darmstadt \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012849121&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-012849121

Record in the Search Index

_version_	1804132832769998848
adam_text	THE THEORY OF MEASURES AND INTEGRATION ERIC M. VESTRUP IWILEY- INTERSCIENCE A JOHN WILEY & SONS, INC., PUBLICATION CONTENTS PREFACE ACKNOWLEDGMENTS SET SYSTEMS 1.1 IR-SYSTEMS, -SYSTEMS, AND SEMIRINGS 1.2 FIELDS 1.3 CT-FIELDS 1.4 THE BOREL CT-FIELD 1.5 THE K-DIMENSIONAL BOREL A-FIELD 1.6 A-FIELDS: CONSTRUCTION AND CARDINALITY 1.7 A CLASS OF ETHEREAL BOREL SETS XI XVII 1 2 7 9 15 19 23 28 2 MEASURES 2.1 MEASURES 2.2 CONTINUITY OF MEASURES 2.3 A CLASS OF MEASURES 2.4 APPENDIX: PROOF OF THE STIELTJES THEOREM 3 EXTENSIONS OF MEASURES 3.1 EXTENSIONS AND RESTRICTIONS 3.2 OUTER MEASURES 3.3 CARATHEODORY S CRITERION 3.4 EXISTENCE OF EXTENSIONS 35 36 42 50 55 63 65 66 69 75 VIII CONTENTS 3.5 UNIQUENESS OF MEASURES AND EXTENSIONS 81 3.6 THE COMPLETION THEOREM 88 3.7 THE RELATIONSHIP BETWEEN V(A) AND :W(\|X) 93 3.8 APPROXIMATIONS 96 3.9 A FURTHER DESCRIPTION OF M( I) 103 3.10 A CORRESPONDENCE THEOREM 105 4 LEBESGUE MEASURE 113 4.1 LEBESGUE MEASURE: EXISTENCE AND UNIQUENESS 113 4.2 LEBESGUE SETS 116 4.3 TRANSLATION INVARIANCE OF LEBESGUE MEASURE 124 4.4 LINEAR TRANSFORMATIONS 128 4.5 THE EXISTENCE OF NON-LEBESGUE SETS 138 4.6 THE CANTOR SET AND THE LEBESGUE FUNCTION 143 4.7 A NON-BOREL LEBESGUE SET 151 4.8 THE IMPOSSIBILITY THEOREM 154 4.9 EXCURSUS: EXTREMELY NONMEASURABLE SETS 158 5 MEASURABLE FUNCTIONS 163 5.1 MEASURABILITY 165 5.2 COMBINING MEASURABLE FUNCTIONS 172 5.3 SEQUENCES OF MEASURABLE FUNCTIONS 178 5.4 ALMOST EVERYWHERE 182 5.5 SIMPLE FUNCTIONS 185 5.6 SOME CONVERGENCE CONCEPTS 188 5.7 CONTINUITY AND MEASURABILITY 197 5.8 A GENERALIZED DEFINITION OF MEASURABILITY 206 6 THE LEBESGUE INTEGRAL 209 6.1 STAGE ONE: SIMPLE FUNCTIONS 210 6.2 STAGE TWO: NONNEGATIVE FUNCTIONS 216 6.3 STAGE THREE: GENERAL MEASURABLE FUNCTIONS 233 6.4 STAGE FOUR: ALMOST EVERYWHERE DEFINED FUNCTIONS 248 7 INTEGRALS RELATIVE TO LEBESGUE MEASURE 267 7.1 SEMICONTINUITY 267 7.2 STEP FUNCTIONS IN EUCLIDEAN SPACE 273 7.3 THE RIEMANN INTEGRAL, PART ONE 277 7.4 THE RIEMANN INTEGRAL, PART TWO 281 7.5 CHANGE OF VARIABLES IN THE LINEAR CASE 286 8 THE L.P SPACES 291 8.1 V SPACE: THE CASE 1 P + 295 8.2 THERIESZ*FISCHER THEOREM 300 8.3 LP SPACE: THE CASE 0 /? 1 306 CONTENTS IX 8.4 IP SPACE: THE CASE P = +00 8.5 CONTAINMENT RELATIONS FOR IF SPACES 8.6 APPROXIMATION 8.7 MORE CONVERGENCE CONCEPTS 8.8 PRELUDE TO THE RIESZ REPRESENTATION THEOREM 8.9 THE RIESZ REPRESENTATION THEOREM THE RADON-NIKODYM THEOREM 9.1 THE RADON-NIKODYM THEOREM, PART I 9.2 THE RADON-NIKODYM THEOREM, PART II 9.3 FROM RADON-NIKODYM TO RIESZ REPRESENTATION 9.4 MARTINGALE THEOREMS 10 11 PRODUCTS OF TWO MEASURE SPACES 10.1 PRODUCT MEASURES 10.2 THE FUBINI THEOREMS 10.3 THE FUBINI THEOREMS IN EUCLIDEAN SPACE 10.4 THE GENERALIZED MINKOWSKI INEQUALITY 10.5 CONVOLUTIONS 10.6 THE HARD Y-LITTLEWOOD THEOREMS ARBITRARY PRODUCTS OF MEASURE SPACES 11.1 NOTATION AND CONVENTIONS CONSTRUCTION OF THE PRODUCT MEASURE CONVERGENCE THEOREMS IN PRODUCT SPACE THE L 2 STRONG LAW PRELUDE TO THE L L STRONG LAW THEZ, 1 STRONG LAW 11.2 11.3 11.4 11.5 11.6 REFERENCES INDEX 311 316 320 331 343 357 367 368 390 402 419 437 438 452 471 480 489 502 519 520 530 554 567 575 583 587 592
any_adam_object	1
author	Vestrup, Eric M.
author_facet	Vestrup, Eric M.
author_role	aut
author_sort	Vestrup, Eric M.
author_variant	e m v em emv
building	Verbundindex
bvnumber	BV019386224
callnumber-first	Q - Science
callnumber-label	QA325
callnumber-raw	QA325
callnumber-search	QA325
callnumber-sort	QA 3325
callnumber-subject	QA - Mathematics
classification_rvk	SK 430
ctrlnum	(OCoLC)52288818 (DE-599)BVBBV019386224
dewey-full	515/.42
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515/.42
dewey-search	515/.42
dewey-sort	3515 242
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02045nam a2200529zc 4500</leader><controlfield tag="001">BV019386224</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20131024 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">040908s2003 xxu \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2003053475</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0471249777</subfield><subfield code="c">acidfree paper</subfield><subfield code="9">0-471-24977-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)52288818</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV019386224</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA325</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.42</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 430</subfield><subfield code="0">(DE-625)143239:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Vestrup, Eric M.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The theory of measures and integration</subfield><subfield code="c">Eric M. Vestrup</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Measure theory and its applications</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Hoboken, NJ</subfield><subfield code="b">Wiley-Interscience</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVII, 594 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Wiley series in probability and statistics</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Integralen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Intégrales généralisées</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Maattheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mesure, Théorie de la</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">aMeasure theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">aIntegrals, Generalized</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Integrationstheorie</subfield><subfield code="0">(DE-588)4138369-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Maßtheorie</subfield><subfield code="0">(DE-588)4074626-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Maßtheorie</subfield><subfield code="0">(DE-588)4074626-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Integrationstheorie</subfield><subfield code="0">(DE-588)4138369-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/bios/wiley044/2003053475.html</subfield><subfield code="3">Biographische Angaben</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/description/wiley037/2003053475.html</subfield><subfield code="3">Informationen des Verlegers</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/toc/wiley032/2003053475.html</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012849121&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-012849121</subfield></datafield></record></collection>
id	DE-604.BV019386224
illustrated	Not Illustrated
indexdate	2024-07-09T19:59:05Z
institution	BVB
isbn	0471249777
language	English
lccn	2003053475
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-012849121
oclc_num	52288818
open_access_boolean
owner	DE-703 DE-634
owner_facet	DE-703 DE-634
physical	XVII, 594 S.
publishDate	2003
publishDateSearch	2003
publishDateSort	2003
publisher	Wiley-Interscience
record_format	marc
series2	Wiley series in probability and statistics
spelling	Vestrup, Eric M. Verfasser aut The theory of measures and integration Eric M. Vestrup Measure theory and its applications Hoboken, NJ Wiley-Interscience 2003 XVII, 594 S. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Integralen gtt Intégrales généralisées Maattheorie gtt Mesure, Théorie de la aMeasure theory aIntegrals, Generalized Integrationstheorie (DE-588)4138369-2 gnd rswk-swf Maßtheorie (DE-588)4074626-4 gnd rswk-swf Maßtheorie (DE-588)4074626-4 s DE-604 Integrationstheorie (DE-588)4138369-2 s http://www.loc.gov/catdir/bios/wiley044/2003053475.html Biographische Angaben http://www.loc.gov/catdir/description/wiley037/2003053475.html Informationen des Verlegers http://www.loc.gov/catdir/toc/wiley032/2003053475.html Inhaltsverzeichnis HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012849121&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Vestrup, Eric M. The theory of measures and integration Integralen gtt Intégrales généralisées Maattheorie gtt Mesure, Théorie de la aMeasure theory aIntegrals, Generalized Integrationstheorie (DE-588)4138369-2 gnd Maßtheorie (DE-588)4074626-4 gnd
subject_GND	(DE-588)4138369-2 (DE-588)4074626-4
title	The theory of measures and integration
title_alt	Measure theory and its applications
title_auth	The theory of measures and integration
title_exact_search	The theory of measures and integration
title_full	The theory of measures and integration Eric M. Vestrup
title_fullStr	The theory of measures and integration Eric M. Vestrup
title_full_unstemmed	The theory of measures and integration Eric M. Vestrup
title_short	The theory of measures and integration
title_sort	the theory of measures and integration
topic	Integralen gtt Intégrales généralisées Maattheorie gtt Mesure, Théorie de la aMeasure theory aIntegrals, Generalized Integrationstheorie (DE-588)4138369-2 gnd Maßtheorie (DE-588)4074626-4 gnd
topic_facet	Integralen Intégrales généralisées Maattheorie Mesure, Théorie de la aMeasure theory aIntegrals, Generalized Integrationstheorie Maßtheorie
url	http://www.loc.gov/catdir/bios/wiley044/2003053475.html http://www.loc.gov/catdir/description/wiley037/2003053475.html http://www.loc.gov/catdir/toc/wiley032/2003053475.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012849121&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT vestrupericm thetheoryofmeasuresandintegration AT vestrupericm measuretheoryanditsapplications

Holdings

There is no print copy available.

Interlibrary loan Place Request Caution: Not in THWS collection! Indexes
Indexes

MARC

Record in the Search Index

There is no print copy available.

Similar Items