rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Measures with symmetry properties
  name:
    name part: Schindler, Werner
    name part: 1963-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2003
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (viii, 167 pages) : illustrations.
  abstract: Symmetries 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.
  table of contents: Introduction, 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.
  note: Werner Schindler.
  note: Electronic resource.
  note: Includes bibliographical references (pages [155]-158) and index.
  subject:
    topic: Measure theory
  subject:
    topic: Probability measures
  subject:
    topic: Set functions
  subject:
    topic: Measure theory
  subject:
    topic: Probability measures
  subject:
    topic: Set functions
  classification: QA3 .L28 no. 1808
  classification: QA325
  classification: 510 s 515/.42
  related item:
    title info:
      title: Measures with symmetry properties
    name:
      name part: Schindler, Werner, 1963-
    origin info:
      publisher: Berlin ; New York : Springer, ©2003
    identifier: (DLC) 2002042919
    identifier: (OCoLC)51171846
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1808
  identifier: 9783540362104 (electronic bk.)
  identifier: 354036210X (electronic bk.)
  identifier: 3540002359
  identifier: 9783540002352
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: COO
    record creation date: 021127
    record change date: 20260422165356.4
    record identifier: in00003515453
    language of cataloging:
      language term: eng