What is the type of a lambda function?

In C++0x, I'm wondering what the type is of a lambda function. Specifically:

#include<iostream>

type1 foo(int x){
 return [x](int y)->int{return x * y;};
}

int main(){

 std::cout<<foo(3)(4);//would output 12

 type2 bar = foo(5);
 std::cout<<bar(6);//would output 30
 return 0;
}

What do I need to replace type1/type2 with to get the above to work? Hopefully you can see what I'm trying to accomplish, so even if this isn't possible by a direct replacement of type1 and type2, perhaps you can guide me in the right direction.

In other words:

• How can I get a function to return an anonymous function?
• How can I assign an anonymous function to a variable?

Thanks!

Edit: I'm compiling with visual studio 2010