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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.03145 |
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Table of Contents:
- In this work we investigate and characterize linear functionals $L:\mathbb{R}[x_1,\dots,x_n]\to\mathbb{R}$ with absolutely continuous representing measures $μ$, i.e., $\mathrm{d}μ(x) = g(x)\,\mathrm{d} x$ for some density $g$. We focus on the regularity of $g$ and how it is influenced/determined by the moments $s_α= L(x^α)$.