Infinite-dimensional Lebesgue measure

Infinite-dimensional Lebesgue measure refers to a generalization of the classic Lebesgue measure used in finite-dimensional spaces to an infinite-dimensional setting, such as function spaces or certain types of spaces encountered in functional analysis. ### Key Concepts 1. **Lebesgue Measure in Finite Dimensions**: In \( \mathbb{R}^n \), the Lebesgue measure assigns a notion of "volume" to measurable subsets.