# PlanetPhysics/Complex Valued Continuous Functions With Compact Support on Hlc

\section{Class of complex-valued continuous functions with compact support on a a locally compact Hausdorff space .}

Let be a locally compact Hausdorff space. Then, one defines the notation **Failed to parse (syntax error): {\displaystyle C_c (H_{lc)}**
} as the
space of complex-valued continuous functions with compact support on .

{\mathbf Note:} For simplicity, this is also denoted as even though it is tacitly assumed that the topological space .