Displaying similar documents to “A strong mixing condition for second-order stationary random fields”

Inequalities between the sum of powers and the exponential of sum of positive and commuting selfadjoint operators

Berrabah Bendoukha, Hafida Bendahmane (2011)

Archivum Mathematicum

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Let ℬ ( ℋ ) be the set of all bounded linear operators acting in Hilbert space ℋ and ℬ + ( ℋ ) the set of all positive selfadjoint elements of ℬ ( ℋ ) . The aim of this paper is to prove that for every finite sequence ( A i ) i = 1 n of selfadjoint, commuting elements of ℬ + ( ℋ ) and every natural number p ≥ 1 , the inequality e p p p ∑ i = 1 n A i p ≤ exp ∑ i = 1 n A i , holds.

Metric entropy and the central limit theorem in C ( S )

R. M. Dudley (1974)

Annales de l'institut Fourier

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Central limit theorems with hypotheses in terms of ϵ -entropy are proved first in C ( S ) where S is a compact metric space and then in an arbitrary separable Banach space.

A note on the Ehrhard inequality

Rafał Latała (1996)

Studia Mathematica

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We prove that for λ ∈ [0,1] and A, B two Borel sets in ℝ n with A convex, Φ - 1 ( γ n ( λ A + ( 1 - λ ) B ) ) ≥ λ Φ - 1 ( γ n ( A ) ) + ( 1 - λ ) Φ - 1 ( γ n ( B ) ) , where γ n is the canonical gaussian measure in ℝ n and Φ - 1 is the inverse of the gaussian distribution function.

Idele characters in spectral synthesis on 𝐑 / 2 π 𝐙

John J. Benedetto (1973)

Annales de l'institut Fourier

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Let s ∈ C , x ∈ R / 2 π Z . We construct Dirichlet series F ( x , x ) where for each fixed s in a half plane, Re F ( x , x ) , as a function of x , is a non-synthesizable absolutely convergent Fourier series. Because of the way the frequencies in F are chosen, we are motivated to introduce a class of synthesizable absolutely convergent Fourier series which are defined in terms of idele characters. We solve the “problem of analytic continuation” in this setting by constructing pseudo-measures, determined by idele characters, when...