arXiv subjects

Lutz Peter Klotz

Publications and source records attributed to Lutz Peter Klotz.

2 recordsLinked to original sources

arXiv2017

Density of spaces of trigonometric polynomials with frequencies from a subgroup in $L^α$-spaces

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 $L^α(μ), α\in (0,\infty)$.

math.FA↗

arXiv2017

H-Regular Borel measures on locally compact abelian groups

Let $G$ be an LCA group, $H$ a closed subgroup, $\varGamma$ the dual group of $G$. In accordance with analogous notions in prediction theory the classes of $H$-regular and $H$-singular Borel measures on $Γ$ are defined. A characterization of $H$-regular measures is given and a Wold type decomposition is obtained.

math.FA↗