Verfügbarkeit: Real analysis | Technische Universität München

Real analysis: modern techniques and their applications

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Folland, Gerald B. 1947- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York Wiley [1999]
Ausgabe:	Second edition
Schriftenreihe:	Pure and applied mathematics
Schlagwörter:	Reelle Analysis Analysis
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008586418&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	xiv, 386 Seiten Illustrationen
ISBN:	9780471317166

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV012638009
003	DE-604
005	20241108
007	t\|
008	990702s1999 xx a\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 9780471317166 \|c Festeinband \|9 978-0-471-31716-6
035			\|a (OCoLC)246014220
035			\|a (DE-599)BVBBV012638009
040			\|a DE-604 \|b ger \|e rda
041	0		\|a eng
049			\|a DE-20 \|a DE-703 \|a DE-91G \|a DE-824 \|a DE-634 \|a DE-11 \|a DE-188 \|a DE-384 \|a DE-92 \|a DE-355 \|a DE-945
050		0	\|a QA300
082	0		\|a 515
084			\|a SK 400 \|0 (DE-625)143237: \|2 rvk
084			\|a SK 420 \|0 (DE-625)143238: \|2 rvk
084			\|a SK 600 \|0 (DE-625)143248: \|2 rvk
084			\|a 17,1 \|2 ssgn
100	1		\|a Folland, Gerald B. \|d 1947- \|e Verfasser \|0 (DE-588)137062486 \|4 aut
245	1	0	\|a Real analysis \|b modern techniques and their applications \|c Gerald B. Folland
250			\|a Second edition
264		1	\|a New York \|b Wiley \|c [1999]
264		4	\|c © 1999
300			\|a xiv, 386 Seiten \|b Illustrationen
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
490	0		\|a Pure and applied mathematics
650	0	7	\|a Reelle Analysis \|0 (DE-588)4627581-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Analysis \|0 (DE-588)4001865-9 \|2 gnd \|9 rswk-swf
689	0	0	\|a Reelle Analysis \|0 (DE-588)4627581-2 \|D s
689	0		\|5 DE-604
689	1	0	\|a Analysis \|0 (DE-588)4001865-9 \|D s
689	1		\|5 DE-604
856	4	2	\|m GBV Datenaustausch \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008586418&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
943	1		\|a oai:aleph.bib-bvb.de:BVB01-008586418

Datensatz im Suchindex

DE-BY-TUM_call_number	0303 MAT 260 L 3327(2)
DE-BY-TUM_katkey	1219327
DE-BY-TUM_location	03
DE-BY-TUM_media_number	040004602571 040004602537 040004602559 040004602548 040004602582
_version_	1821931931429765120
adam_text	REAL ANALYSIS MODERN TECHNIQUES AND THEIR APPLICATIONS SECOND EDITION GERALD B. FOUAND A WILEY-INTERSCIENCE PUBLICATION JOHN WILEY& SONS, INC. NEW YORK / CHICHESTER / WEINHEIM / BRISBANE / SINGAPORE / TORONTO K CONTENTS PREFACE PROLOGUE 0.1 THE LANGUAGE OFSET THEORY 0.2 ORDERINGS 0.3 CARDINALITY 0.4 MORE ABOUT WELL ORDERED SETS 0.5 THE EXTENDED REAL NUMBER SYSTEM 0.6 METRIE SPACES 0.7 NOTES AND REFERENCES MEASURES 1.1 INTRODUCTION 1.2 A-ALGEBRAS 1.3 MEASURES 1.4 OUTER MEASURES 1.5 BOREL MEASURES ON THE REAL LINE 1.6 NOTES AND REFERENCES VII 1 1 4 6 9 10 13 16 19 19 21 24 28 33 40 XI XUE CONTENTS INTEGRATION 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 MEASURABLE FUNCTIONS INTEGRATION OF NONNEGATIVE FUNCTIONS INTEGRATION OFCOMPLEX FUNCTIONS MODES OF CONVERGENCE PRODUCT MEASURES THE N-DIMENSIONAL LEBESGUE INTEGRAL INTEGRATION IN POLAR COORDINATES NOTES AND REFERENCES SIGNED MEASURES AND DIFFERENTIATION 3.1 3.2 3.3 3.4 3.5 3.6 SIGNED MEASURES THE LEBESGUE-RADON-NIKODYM THEOREM COMPLEX MEASURES DIFFERENTIATION ON EUCLIDEAN SPACE FUNCTIONS OFBOUNDED VARIATION NOTES AND REFERENCES POINT SET TOPOLOGY 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 TOPOLOGICAL SPACES CONTINUOUS MOPS NETS COMPACT SPACES LOCALLY COMPACT HAUSDORFF SPACES TWO COMPACTNESS THEOREMS THE STONE-WEIERSTRASS THEOREM EMBEDDINGS IN CUBES NOTES AND REFERENCES ELEMENTS OF FUNCTIONAL ANALYSIS 5.1 5.2 5.3 5.4 5.5 5.6 NORMED VECTOR SPACES LINEAR FUNCTIONALS THE BAIRE CATEGORY THEOREM AND ITS CONSEQUENCES TOPOLOGICAL VECTOR SPACES HUBERT SPACES NOTES AND REFERENCES 43 43 49 52 60 64 70 77 81 85 85 88 93 95 100 109 113 113 119 125 128 131 136 138 143 146 151 151 157 161 165 171 179 CONTENTS XIII 6 V SPACES 181 6.1 BASIC THEORY OF L P SPACES 181 6.2 THE DUAL OFU 188 6.3 SOME USEFUL INEQUALITIES 193 6.4 DISTRIBUTION FUNCTIONS AND WEAK V 197 6.5 INTERPOLATION OFU SPACES 200 6.6 NOTES AND REFERENCES 208 7 RADON MEASURES 211 7.1 POSITIVE LINEAR FUNCTIONALS ON C C {X) 211 7.2 REGULARITY AND APPROXIMATION THEOREMS 216 7.3 THE DUAL OFC 0 (X) 221 7.4 PRODUCTS OF RADON MEASURES 226 7.5 NOTES AND REFERENCES 231 8 ELEMENTS OF FOURIER ANALYSIS 235 8.1 PRELIMINARIES 235 8.2 CONVOLUTIONS 239 8.3 THE FOURIER TRANSFORM 247 8.4 SUMMATION OFFOURIER INTEGRALS AND SERIES 257 8.5 POINTWISE CONVERGENCE OFFOURIER SERIES 263 8.6 FOURIER ANALYSIS OF MEASURES 270 8.7 APPLICATIONS TO PARTIAL DIFFERENTIAL EQUATIONS 273 8.8 NOTES AND REFERENCES 278 9 ELEMENTS OF DISTRIBUTION THEORY 281 9.1 DISTRIBUTIONS 281 9.2 COMPACTLY SUPPORTED, TEMPERED, AND PERIODIC DISTRIBUTIONS 291 9.3 SOBOLEV SPACES 301 9.4 NOTES AND REFERENCES 310 10 TOPICS IN PROBABILITY THEORY 313 10.1 BASIC CONCEPTS 313 10.2 THE LAW OFLARGE NUMBERS 320 10.3 THE CENTRAL LIMIT THEOREM 325 10.4 CONSTRUCTION OF SAMPLE SPACES 328 10.5 THE WIENER PROCESS 330 10.6 NOTES AND REFERENCES 336 K XIV CONTENTS 11 MORE MEASURES AND INTEGRALS 339 11.1 TOPOLOGICAL GROUPS AND HAAR MEASURE 339 11.2 HAUSDORFF MEASURE 348 11.3 SELF-SIMILARITY AND HAUSDORFF DIMENSION 355 11.4 INTEGRATION ON MANIFOLDS 361 11.5 NOTES AND REFERENCES 363 BIBLIOGRAPHY 365 INDEX OF NOTATION 377 INDEX 379
any_adam_object	1
author	Folland, Gerald B. 1947-
author_GND	(DE-588)137062486
author_facet	Folland, Gerald B. 1947-
author_role	aut
author_sort	Folland, Gerald B. 1947-
author_variant	g b f gb gbf
building	Verbundindex
bvnumber	BV012638009
callnumber-first	Q - Science
callnumber-label	QA300
callnumber-raw	QA300
callnumber-search	QA300
callnumber-sort	QA 3300
callnumber-subject	QA - Mathematics
classification_rvk	SK 400 SK 420 SK 600
ctrlnum	(OCoLC)246014220 (DE-599)BVBBV012638009
dewey-full	515
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	515 - Analysis
dewey-raw	515
dewey-search	515
dewey-sort	3515
dewey-tens	510 - Mathematics
discipline	Mathematik
edition	Second edition
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01674nam a2200445 c 4500</leader><controlfield tag="001">BV012638009</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20241108 </controlfield><controlfield tag="007">t\|</controlfield><controlfield tag="008">990702s1999 xx a\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780471317166</subfield><subfield code="c">Festeinband</subfield><subfield code="9">978-0-471-31716-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246014220</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012638009</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-92</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-945</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA300</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 400</subfield><subfield code="0">(DE-625)143237:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 420</subfield><subfield code="0">(DE-625)143238:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Folland, Gerald B.</subfield><subfield code="d">1947-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)137062486</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Real analysis</subfield><subfield code="b">modern techniques and their applications</subfield><subfield code="c">Gerald B. Folland</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Second edition</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York</subfield><subfield code="b">Wiley</subfield><subfield code="c">[1999]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiv, 386 Seiten</subfield><subfield code="b">Illustrationen</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">Pure and applied mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Reelle Analysis</subfield><subfield code="0">(DE-588)4627581-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Analysis</subfield><subfield code="0">(DE-588)4001865-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Reelle Analysis</subfield><subfield code="0">(DE-588)4627581-2</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">Analysis</subfield><subfield code="0">(DE-588)4001865-9</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="2"><subfield code="m">GBV Datenaustausch</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=008586418&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008586418</subfield></datafield></record></collection>
id	DE-604.BV012638009
illustrated	Illustrated
indexdate	2024-12-20T10:33:44Z
institution	BVB
isbn	9780471317166
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-008586418
oclc_num	246014220
open_access_boolean
owner	DE-20 DE-703 DE-91G DE-BY-TUM DE-824 DE-634 DE-11 DE-188 DE-384 DE-92 DE-355 DE-BY-UBR DE-945
owner_facet	DE-20 DE-703 DE-91G DE-BY-TUM DE-824 DE-634 DE-11 DE-188 DE-384 DE-92 DE-355 DE-BY-UBR DE-945
physical	xiv, 386 Seiten Illustrationen
publishDate	1999
publishDateSearch	1999
publishDateSort	1999
publisher	Wiley
record_format	marc
series2	Pure and applied mathematics
spellingShingle	Folland, Gerald B. 1947- Real analysis modern techniques and their applications Reelle Analysis (DE-588)4627581-2 gnd Analysis (DE-588)4001865-9 gnd
subject_GND	(DE-588)4627581-2 (DE-588)4001865-9
title	Real analysis modern techniques and their applications
title_auth	Real analysis modern techniques and their applications
title_exact_search	Real analysis modern techniques and their applications
title_full	Real analysis modern techniques and their applications Gerald B. Folland
title_fullStr	Real analysis modern techniques and their applications Gerald B. Folland
title_full_unstemmed	Real analysis modern techniques and their applications Gerald B. Folland
title_short	Real analysis
title_sort	real analysis modern techniques and their applications
title_sub	modern techniques and their applications
topic	Reelle Analysis (DE-588)4627581-2 gnd Analysis (DE-588)4001865-9 gnd
topic_facet	Reelle Analysis Analysis
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008586418&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT follandgeraldb realanalysismoderntechniquesandtheirapplications

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis
Paper/Kapitel scannen lassen

Teilbibliothek Chemie, Lehrbuchsammlung

Bestandsangaben von Teilbibliothek Chemie, Lehrbuchsammlung
Signatur:	0303 MAT 260 L 3327(2) Lageplan
Exemplar 1	Ausleihbar Am Standort
Exemplar 2	Ausleihbar Am Standort
Exemplar 3	Ausleihbar Am Standort
Exemplar 4	Ausleihbar Am Standort
Exemplar 5	Ausleihbar Am Standort