Extension of Riesz Representation Theorem for locally compact Hausdorff space.

Question

Riesz representation theorem for positive linear functional is well known when underlying space is locally compact Hausdorff space. In this case, the measure we obtain is a positive measure. For arbitrary bounded linear functional, which is not positive, we will have signed measure. I got the proof for compact metric space in the text book 'Real Analysis' by Royden and now I want to extend it to locally compact Hausdorff space. Can anyone please suggest me any text book or other source for this? Thank you.