I am looking for an introduction to color theory that presupposes knowledge of considerable mathematics and physics. Such a theory should carefully address how a light spectrum, which can be fully represented as a Fourier transform of a signal in $L_2(\mathbb R),$ can be well approximated by a point in some sort of color space, e.g., LMS or RGB.
Essentially, I would like a reference that introduces the topics discussed in this question, geared at someone with a background in math and physics but not color theory.
EDIT: To give a sense of what I mean by the math/physics side of color theory, I'm interested in the following types of question:
What is the definition of the chromaticity diagram?
How come three pixels can produce all the colors in the convex hull of those pixel's representative points on the chromaticity diagram?
How does RGB space map onto the chromaticity diagram? (The pixel for $(R,G,B)=(1,0,0)$ should map to the "red" vertex of a triangle, but how about the point $(R,G,B)=(0,0,0)?$)
Why are most colors on the chromaticity diagram not producible from pure frequencies? Why do all the pure frequencies form one boundary for the chromaticity diagram, while the violet-red boundary line can only be produced from mixture of frequencies?