The Resource Measure and Integration : An Advanced Course in Basic Procedures and Applications, by Heinz König, (electronic resource)

Measure and Integration : An Advanced Course in Basic Procedures and Applications, by Heinz König, (electronic resource)

Label
Measure and Integration : An Advanced Course in Basic Procedures and Applications
Title
Measure and Integration
Title remainder
An Advanced Course in Basic Procedures and Applications
Statement of responsibility
by Heinz König
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
This book sets out to restructure certain fundamentals in measure and integration theory, and thus to fee the theory from some notorious drawbacks. It centers around the ubiquitous task of producing appropriate contents and measures from more primitive data, in order to extend elementary contents and to represent elementary integrals. This task has not been met with adequate unified means so far. The traditional main tools, the Carathéodory and Daniell-Stone theorems, are too restrictive and had to be supplemented by other ad-hoc procedures. Around 1970 a new approach emerged, based on the notion of regularity, which in traditional measure theory is linked to topology. The present book develops the new approach into a systematic theory. The theory unifies the entire context and is much more powerful than the former means. It has striking implications all over measure theory and beyond. Thus it extends the Riesz representation theorem in terms of Randon measures from locally compact to arbitrary Hausdorff topological spaces. It furthers the methodical unification with non-additive set functions, as shown in natural extensions of the Choquet capacitability theorem. The presentation of this research monograph is self-contained, and starts from the beginning. It is addressed to research workers in mathematical analysis and in applications like mathematical economics, and in particular for university teachers in measure and integration theory. The corrected, second printing includes required corrections and appropriate small alterations of the text and a list of the subsequent articles by the author.
Member of
http://library.link/vocab/creatorName
König, Heinz
Dewey number
515.42
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
TuTpKQLsaIw
Language note
English
LC call number
QA331.5
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Mathematics
http://library.link/vocab/subjectName
  • Mathematics
  • Functional analysis
  • Real Functions
  • Functional Analysis
Label
Measure and Integration : An Advanced Course in Basic Procedures and Applications, by Heinz König, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Set Systems and Set Functions -- The Extension Theories Based on Regularity -- Applications of the Extension Theories -- The Integral -- The Daniell-Stone and Riesz Representation Theorems -- Transplantation of Contents and Measures -- Products of Contents and Measures -- Applications of the New Contents and Measures
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (276 p.)
Form of item
online
Isbn
9783540895022
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-540-89502-2
Specific material designation
remote
System control number
  • (CKB)1000000000778048
  • (EBL)1205210
  • (SSID)ssj0000324722
  • (PQKBManifestationID)11251063
  • (PQKBTitleCode)TC0000324722
  • (PQKBWorkID)10319255
  • (PQKB)10189396
  • (DE-He213)978-3-540-89502-2
  • (EXLCZ)991000000000778048
Label
Measure and Integration : An Advanced Course in Basic Procedures and Applications, by Heinz König, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Set Systems and Set Functions -- The Extension Theories Based on Regularity -- Applications of the Extension Theories -- The Integral -- The Daniell-Stone and Riesz Representation Theorems -- Transplantation of Contents and Measures -- Products of Contents and Measures -- Applications of the New Contents and Measures
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (276 p.)
Form of item
online
Isbn
9783540895022
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-540-89502-2
Specific material designation
remote
System control number
  • (CKB)1000000000778048
  • (EBL)1205210
  • (SSID)ssj0000324722
  • (PQKBManifestationID)11251063
  • (PQKBTitleCode)TC0000324722
  • (PQKBWorkID)10319255
  • (PQKB)10189396
  • (DE-He213)978-3-540-89502-2
  • (EXLCZ)991000000000778048

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