- #1

- 108

- 1

This is a conceptual question. Lets say I have a scalar function, [tex]f(x,y,z)[/tex] defined throughout [tex]\mathbb{R}^3[/tex]. Further I have some bounded surface, S embedded in [tex]\mathbb{R}^3[/tex].

How would I find the function f, defined

**on**the surface S?

Would it be the inner product of f and S, [tex]<f|S>[/tex] or a functional composition like [tex]f \circ S[/tex]?