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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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.
Bambusi, Dario, Gaeta, Giuseppe (2002)
Mathematical Physics Electronic Journal [electronic only]
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Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
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A generalization of the Avez method of construction of an invariant measure is presented.
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
V. Losert, H. Rindler (1987)
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2002)
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We present necessary and sufficient conditions for a rearrangement invariant function space to have a complete orthonormal uniformly bounded RUC system.
Piotr Zakrzewski (1997)
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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...
Gloria Beffa (2000)
Banach Center Publications
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In this paper we describe the close relationship between invariant evolutions of projective curves and the Hamiltonian evolutions of Adler, Gel'fand and Dikii. We also show how KdV evolutions are related as well to invariant evolutions of projective surfaces.
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Annales Polonici Mathematici
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Henryk Żołądek (2011)
Banach Center Publications
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The first and the second Painlevé equations are explicitly Hamiltonian with time dependent Hamilton function. By a natural extension of the phase space one gets corresponding autonomous Hamiltonian systems in ℂ⁴. We prove that the latter systems do not have any additional algebraic first integral. In the proof equations in variations with respect to a parameter are used.
Božidar Jovanović (2008)
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Vagharshakyan, A. (2005)
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Zhang, Dongfeng, Cheng, Rong (2010)
Fixed Point Theory and Applications [electronic only]
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