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Titlebook: Ergodic Theorems for Group Actions; Informational and Th Arkady Tempelman Book 1992 Springer Science+Business Media Dordrecht 1992 Maxima.P

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Pointwise Ergodic Theorems,We denote by . the space of all measurable .-valued functions with the seminorm . convergence in . is the same as convergence in ..
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Bioresource and Stress Managementof all bounded sets in B; .. := {. : . ∈ . ∈ ., ..(.) > >0} (it is a direction with the following “downwards” order: .. < .. if .. ⊃ ..); M is the set of all Borel measures on .; . = ./. is a left homogeneous space; . is an invariant measure on .; (., ., .) is a probability space;ℝ̃.=ℝ.∪{+∞}; and ℝ̃=ℝ{-∞}∪{+∞}.
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Ergodicity and Mixing, . being an arbitrary Banach space. If . ∈ ..(., ., .), M(.) = M(.∣.) is the mean of the function . with respect to . (see Subsect. 1.7.2). Let . be a probability measure on . E(.) = ..., . ∈ ..(., ., .).
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Ergodic Theorems for Homogeneous Random Measures,of all bounded sets in B; .. := {. : . ∈ . ∈ ., ..(.) > >0} (it is a direction with the following “downwards” order: .. < .. if .. ⊃ ..); M is the set of all Borel measures on .; . = ./. is a left homogeneous space; . is an invariant measure on .; (., ., .) is a probability space;ℝ̃.=ℝ.∪{+∞}; and ℝ̃=ℝ{-∞}∪{+∞}.
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