Functional Analysis and Measure Theory

[Allan Jonathan]

How important is to learn Functional Analysis and Measure Theory in a M.Sc/Phd program before Stochastic Calculus for those who want to develop new models?
Is it too much more than necessary to industry quants?

 

[meoww]

You need measure theory to understand probability, and to understand stochastic calculus you need probability. I am not sure if you need functional analysis.