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Titlebook: Classical Potential Theory and Its Probabilistic Counterpart; Advanced Problems J. L. Doob Book 1984 Springer-Verlag New York Inc. 1984 Mar

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Subparabolic, Superparabolic, and Parabolic Functions on a Slabregions. It is therefore to be expected from XV(7.3) that the upper boundary of . if . is a parabolic measure null set and that parabolic measure on the lower boundary is given by . so that if . is parabolic on . with boundary function . in some suitable sense on the lower boundary and if . is appropriately restricted, then
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Estimating Population Parameters,Let . and if . denote by . the image of ξ under inversion in ∂.. That is, . is on the ray from ξ. through ξ, and .. To simplify the notation take ..
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Experimental Design and Analysis,Throughout this book a . subset of ℝ. is either a ball in ℝ. or ℝ. itself, but the latter only when . > 2. The Green function . for . a ball was defined in Section II.1. The Green function . for . = ℝ. with . > 2 is defined as .. If μ is a measure on a special open set ., define the function .μ on . by ..
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Experimental Design and Analysis,. . Г: . . ℝ., .(ξ) = inf..
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