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Invariant measures -- from Lebesgue to our days

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Publication:1093622
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DOI10.1016/0315-0860(86)90090-XzbMath0629.01017MaRDI QIDQ1093622

Jean-Paul Pier

Publication date: 1986

Published in: Historia Mathematica (Search for Journal in Brave)


zbMATH Keywords

measure theoryF. Hausdorff


Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of measure and integration (28-03)




Cites Work

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  • Amenable semigroups
  • Some remarks on invariant means
  • Invariance properties of finitely additive measures in \(\mathbb{R}^n\)
  • Invariant means and invariant ideals in \(L_\infty (G)\) for a locally compact group \(G\)
  • Proximal flows
  • Counterexamples in ergodic theory and number theory
  • Der Maßbegriff in der Theorie der kontinuierlichen Gruppen
  • Die Einführung analytischer Parameter in topologischen Gruppen
  • On groups with full Banach mean value
  • Mesures Invariantes Sur Les Hypergroupes
  • For 𝑛>3 there is only one finitely additive rotationally invariant measure on the 𝑛-sphere defined on all Lebesgue measurable subsets
  • Almost Invariant Sets
  • Uniqueness of Invariant Means for Measure-Preserving Transformations
  • Some Functions With a Unique Invariant Mean
  • Amenable Groups and Groups with the Fixed Point Property
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