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 .