This observation will prove especially important when we consider function space approaches to the subject in a later section.

This usage implies an integral taken over some function space.

This property of the function space is what makes generic properties typical.

The space of entire holomorphic functions on the complex plane is nuclear.

Then, also acts on the space of holomorphic functions from to the complex numbers.

Many interesting spaces of functions fall into this class.

However, the space of functions to which this operator maps now influences the definition.

The space of smooth functions on any compact manifold is nuclear.

North has this beautiful function space, and even Oriana's going to get dressed up".

We can define a continuous random field well enough as a linear map from a space of functions into the real numbers.