This book is devoted to some topics of the general theory of invariant and quasi-invariant measures. Such measures are usually defined on various ?-algebras of subsets of spaces equipped with transformation groups, and there are close relationships between purely algebraic properties of these groups and the corresponding properties of invariant (quasi-invariant) measures. The main goal of the book is to investigate several aspects of those relationships (primarily from the set-theoretical point of view). Also of interest are the properties of some natural classes of sets, important from the viewpoint of the theory of invariant (quasi-invariant) measures.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Pappband
mit Schutzumschlag
Maße
Höhe: 223 mm
Breite: 155 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-981-02-3492-8 (9789810234928)
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Schweitzer Klassifikation
Autor*in
Georgian Academy Of Sciences, R O Georgia
Some properties of transformation groups; quasi-invariant and invariant measures; some examples and constructions; nonmeasurable sets with respect to quasi-invariant and invariant measures; small sets with respect to quasi-invariant measures; almost invariant sets; some invariant sigma-ideals and sigma-algebras; density points and invariant extensions of Lebesgue measure; the uniqueness of Lebesgue and Borel measures; quasi-invariant Borel measures on standard groups.
