This document discusses canonical-Laplace transforms and various testing function spaces. It begins by defining the canonical-Laplace transform and establishes some testing function spaces using Gelfand-Shilov technique, including CLa,b,γ, CLab,β, CLγa,b,β, CLa,b,β,n, and CLγa,,m,β,n. It then presents results on countable unions of s-type spaces, proving that various spaces can be expressed as countable unions and discussing topological properties. The document concludes by stating that canonical-Laplace transforms are generalized in a distributional sense and results on countable unions of s-type spaces are discussed, along with the topological structure