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010   $a3-540-36210-X
024 7 $a10.1007/b80163
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035   $a(DE-He213)978-3-540-36210-4
035   $a(MiAaPQ)EBC6286308
035   $a(MiAaPQ)EBC5591433
035   $a(Au-PeEL)EBL5591433
035   $a(OCoLC)51179421
035   $a(PPN)155220209
035   $a(EXLCZ)991000000000229437
100   $a20121227d2003      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMeasures with Symmetry Properties$b[electronic resource] /$fby Werner Schindler
205   $a1st ed. 2003.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003.
215   $a1 online resource (X, 174 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1808
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-00235-9 
327   $aIntroduction, Main Theorems: Definitions and Preparatory Lemmata; Definition of Property (*) and Its Implications (Main Theorems); Supplementary Expositions and an Alternate Existence Proof -- Significance, Applicability and Advantages -- Applications: Central Definitions, Theorems and Facts; Equidistribution on the Grassmannian Manifold and Chirotopes; Conjugation-invariant Probability Measures on Compact Connected Lie Groups; Conjugation-invariant Probability Measures on SO(n); Conjugation-invariant Probability Measures on SO(3); The Theorem of Iwasawa and Invariant Measures on Lie Groups; QR-Decomposition on GL(n); Polar Decomposition on GL(n); O(n)-invariant Borel Measures on Pos(n); Biinvariant Borel Measures on GL(n); Symmetries on Finite Spaces -- References -- Glossary -- Index.
330   $aSymmetries and invariance principles play an important role in various branches of mathematics. This book deals with measures having weak symmetry properties. Even mild conditions ensure that all invariant Borel measures on a second countable locally compact space can be expressed as images of specific product measures under a fixed mapping. The results derived in this book are interesting for their own and, moreover, a number of carefully investigated examples underline and illustrate their usefulness and applicability for integration problems, stochastic simulations and statistical applications.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1808
606   $aMeasure theory
606   $aTopological groups
606   $aLie groups
606   $aNumerical analysis
606   $aStatistics 
606   $aMeasure and Integration$3https://scigraph.springernature.com/ontologies/product-market-codes/M12120
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aStatistical Theory and Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/S11001
615  0$aMeasure theory.
615  0$aTopological groups.
615  0$aLie groups.
615  0$aNumerical analysis.
615  0$aStatistics .
615 14$aMeasure and Integration.
615 24$aTopological Groups, Lie Groups.
615 24$aNumerical Analysis.
615 24$aStatistical Theory and Methods.
676   $a515.42
700   $aSchindler$b Werner$4aut$4http://id.loc.gov/vocabulary/relators/aut$0451448
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466592803316
996   $aMeasures with symmetry properties$9145755
997   $aUNISA