Titlebook: Harmonic Analysis on Semigroups; Theory of Positive D Christian Berg,Jens Peter Reus Christensen,Paul Re Textbook 1984 Springer Science+Bus

繁忙

Positive Definite Functions and Moment Functions,.) ⊆ .(.) ⊆ .(.) ⊆ ℂ. and every function ϕ ∈ .(.) has a representation.with a uniquely determined measure μ ∈ .(.*). Our aim is to examine for which ϕ∈.(.) there exists a representation as above with μ∈.(.*) of not necessarily compact support.

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巧办法

gnarled

Positive and Negative Definite Functions on Abelian Semigroups Without Zero,oup contained a neutral element, i.e. a “zero” with respect to the additively written semigroup operation. We also saw that some boundedness conditions were necessary for the functions under consideration in order to prove the main representation results.

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https://doi.org/10.1007/978-1-4612-1128-0Fourier transform; Functions; Halbgruppe; Harmonische Analyse; Hilbert space; Positiv definite Funktion; V

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木讷

,Hoeffding’s Inequality and Multivariate Majorization,Many years ago Hoeffding (1956, Theorem 3) proved the following result: if .,…, . are independent Bernoulli random variables and if.is (strictly) concave, then.where on the right-hand side it is assumed that ℙ(.=1)=. while on the left-hand side .for all . = 1,…, ..

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