In mathematics, a signed measure is a generalization of the concept of (positive) measure by allowing the set function to take negative values.

16 июн. 2022 г. · Definition. Let d∈N. Let B(Rd) be the Borel σ-algebra on Rd. Let μ be a signed measure on (Rd,B(Rd)). We say that μ is a signed Borel ...

In mathematics, specifically in measure theory, a Borel measure on a topological space is a measure that is defined on all open sets (and thus on all Borel sets) ...

26 июл. 2022 г. · A signed measure μ (or even a complex valued measure) defined on the Borel σ-algebra of a locally compact Hausdorff space X is said to be regular. The space of finite signed measures with the total variation ... The point of signed measure - Mathematics Stack Exchange Given two finite signed measures that are equal on h-intervals ... function have a signed measure as a distributional derivative? Другие результаты с сайта math.stackexchange.com

4 нояб. 2022 г. · The extension to all of M(S) (complex measures or signed measures of total finite variation) does not hold in general.

Let µ be a signed measure on (X, A). 1) If P ∈ A is positive (negative) [null] and if E ∈ A is such that E ⊆ P, then E ...

4 мар. 2020 г. · The answer is yes, such measures can exist. In the paper Davies, Roy O., Measures not approximable or not specifiable by means of balls.

4 янв. 2009 г. · In this section we investigate the structure of this space, together with the closely related spaces of signed measures and finite measures.

A (signed) Borel charge is a (signed) charge that is defined either on the algebra AX or σ-algebra BX generated by the open sets.