# Linear representation of integral

## Linear representaion of integral

Riesz Representation Theorem one of measure property

$$\Lambda f = \int f$$ $$du$$ $$for$$ $$every$$ $$f \in C_c (X)$$

$$f = \Sigma_1^nC_i1_{E_i}(x)$$

$$\Lambda f = \Sigma_1^nC_i1_{E_i}(x) \mu(E_i) = \int f du$$

$$\Lambda = vector(\mu(E_i))$$