On moment functionals with signed representing measures

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2025-01-25 DOI:10.1016/j.exmath.2025.125657

Konrad Schmüdgen

引用次数: 0

Abstract

Suppose that

A

is a finitely generated commutative unital real algebra and

K

is a closed subset of the set

\hat{A}

of characters of

A

. We study the following problem: When is each linear functional

L : A \to R

an integral with respect to some signed Radon measure on

\hat{A}

supported by the set

K

? A complete characterization of these sets

K

and algebras

A

by necessary and sufficient conditions is given. The result is applied to the polynomial algebra

R [x_{1}, \dots, x_{d}]

and subsets

K

R^{d}

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来源期刊

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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