On the positivity of an invariant measure on open non-empty sets
Antoni Leon Dawidowicz (1989)
Annales Polonici Mathematici
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Antoni Leon Dawidowicz (1989)
Annales Polonici Mathematici
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A. B. Kharazishvili (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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Antal Járai
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CONTENTS§1. Introduction...............................................................5§2. Covariant extension of measures..............................6§3. An invariant extension of Haar measure..................15§4. Covariant extension of Lebesgue measure.............22References....................................................................26
Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
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A method of construction of an invariant measure on a function space is presented.
Piotr Zakrzewski (1997)
Colloquium Mathematicae
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Let G be a group of homeomorphisms of a nondiscrete, locally compact, σ-compact topological space X and suppose that a Haar measure on X exists: a regular Borel measure μ, positive on nonempty open sets, finite on compact sets and invariant under the homeomorphisms from G. Under some mild assumptions on G and X we prove that the measure completion of μ is the unique, up to a constant factor, nonzero, σ-finite, G-invariant measure defined on its domain iff μ is ergodic and the G-orbits...
A. B. Kharazishvili (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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Paweł Góra (1989)
Banach Center Publications
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Andrzej Hulanicki (1962)
Fundamenta Mathematicae
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