Functional analysis: fundamentals and applications
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York [u.a.]
Birkhäuser
2013
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Schriftenreihe: | Cornerstones
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Schlagworte: | |
Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (XIII, 213 S.) graph. Darst. |
ISBN: | 9781461470038 9781461470045 |
DOI: | 10.1007/978-1-4614-7004-5 |
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Datensatz im Suchindex
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adam_text | FUNCTIONAL ANALYSIS
/ WILLEM, MICHEL
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
THE INTEGRAL
NORM
LEBESGUE SPACES
DUALITY
SOBOLEV SPACES
CAPACITY
ELLIPTIC PROBLEMS
APPENDIX
EPILOGUE
REFERENCES
INDEX OF NOTATIONS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FUNCTIONAL ANALYSIS
/ WILLEM, MICHEL
: 2013
ABSTRACT / INHALTSTEXT
THE GOAL OF THIS WORK IS TO PRESENT THE PRINCIPLES OF FUNCTIONAL
ANALYSIS IN A CLEAR AND CONCISE WAY. THE FIRST THREE CHAPTERS OF
FUNCTIONAL ANALYSIS: FUNDAMENTALS AND APPLICATIONS DESCRIBE THE GENERAL
NOTIONS OF DISTANCE, INTEGRAL AND NORM, AS WELL AS THEIR RELATIONS. THE
THREE CHAPTERS THAT FOLLOW DEAL WITH FUNDAMENTAL EXAMPLES: LEBESGUE
SPACES, DUAL SPACES AND SOBOLEV SPACES. TWO SUBSEQUENT CHAPTERS DEVELOP
APPLICATIONS TO CAPACITY THEORY AND ELLIPTIC PROBLEMS. IN PARTICULAR,
THE ISOPERIMETRIC INEQUALITY AND THE POLYA-SZEGO AND FABER-KRAHN
INEQUALITIES ARE PROVED BY PURELY FUNCTIONAL METHODS. THE EPILOGUE
CONTAINS A SKETCH OF THE HISTORY OF FUNCTIONAL ANALYSIS, IN RELATION
WITH INTEGRATION AND DIFFERENTIATION. STARTING FROM ELEMENTARY ANALYSIS
AND INTRODUCING RELEVANT RECENT RESEARCH, THIS WORK IS AN EXCELLENT
RESOURCE FOR STUDENTS IN MATHEMATICS AND APPLIED MATHEMATICS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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discipline | Mathematik |
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isbn | 9781461470038 9781461470045 |
language | English |
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spelling | Willem, Michel Verfasser aut Functional analysis fundamentals and applications Michel Willem New York [u.a.] Birkhäuser 2013 1 Online-Ressource (XIII, 213 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Cornerstones Funktionsanalyse (DE-588)4136332-2 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Funktionsanalyse (DE-588)4136332-2 s 2\p DE-604 https://doi.org/10.1007/978-1-4614-7004-5 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026822572&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026822572&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 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 |
spellingShingle | Willem, Michel Functional analysis fundamentals and applications Funktionsanalyse (DE-588)4136332-2 gnd |
subject_GND | (DE-588)4136332-2 (DE-588)4151278-9 |
title | Functional analysis fundamentals and applications |
title_auth | Functional analysis fundamentals and applications |
title_exact_search | Functional analysis fundamentals and applications |
title_full | Functional analysis fundamentals and applications Michel Willem |
title_fullStr | Functional analysis fundamentals and applications Michel Willem |
title_full_unstemmed | Functional analysis fundamentals and applications Michel Willem |
title_short | Functional analysis |
title_sort | functional analysis fundamentals and applications |
title_sub | fundamentals and applications |
topic | Funktionsanalyse (DE-588)4136332-2 gnd |
topic_facet | Funktionsanalyse Einführung |
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