The moment problem with bounded density

Details The moment problem with bounded density The moment problem with bounded density

2006-07-19

arxiv.org/abs/math/0607463v2

Mathematics

Functional Analysis

Scientific paper

Let $\mu$ be a given Borel measure on $\K\subseteq\R^n$ and let $y=(y_\alpha)$, $\alpha\in\N^n$, be a given sequence. We provide several conditions linking $y$ and the moment sequence $z=(z_\alpha)$ of $\mu$, for $y$ to be the moment sequence of a Borel measure $\nu$ on $\K$ which is absolutely continuous with respect to $\mu$ and such that its density is in $L_\infty(\K,\mu)$. The conditions are necessary and sufficient if $\K$ is a compact basic semi-algebraic set, and sufficient if $\K\equiv\R^n$. Moreover, arbitrary finitely many of these conditions can be checked by solving either a semidefinite program or a linear program with a single variable

Affiliated with

Also associated with

No associations

Rating

The moment problem with bounded density does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The moment problem with bounded density, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The moment problem with bounded density will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-625835