频率来自$L^α$ -空间子群的三角多项式空间的稠密性
Density of spaces of trigonometric polynomials with frequencies from a subgroup in $L^α$-spaces
摘要：
设$G$是LCA群，$H$是闭子群，$\varGamma$是$G$的对偶群，$μ$是$\varGamma$上的正则有限非负Borel测度.给出了$\varGamma$上的三角多项式集合在$L^α(μ), α\in (0,\infty)$空间中的稠密性的充要条件.
英文摘要：
Let $G$ be an LCA group, $H$ a closed subgroup, $\varGamma$ the dual group of $G$ and $μ$ be a regular finite non-negative Borel measure on $\varGamma$. We give some necessary and sufficient conditions for the density of the set of trigonometric polynomials on $\varGamma$ with frequencies from $H$ in the space $L^α(μ), α\in (0,\infty)$.
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