Olafsson's Theorem is a result in the field of mathematics, specifically in the area of representation theory and harmonic analysis. It provides a way to understand the relationship between certain types of functions and their symmetries, particularly in the context of Lie groups and symmetric spaces. The theorem states that under specific conditions, one can decompose functions into simpler components that reflect the underlying structure of the space. This decomposition helps in analyzing complex functions by breaking them down into more manageable parts, making it easier to study their properties and behaviors.