If you want to put function definitions in header files, it appears there are three different solutions:
inline
You could consider wrapping the methods in a class instead of a namespace. Declare these methods as static and delete the constructor of the class to reinforce that this is not an object to be instantiated.
struct FooNamespace
{
FooNamespace() = delete;
static FooMethod1() {
...
}
static FooMethod2() {
...
}
};
You get the same general behavior as it belonging to a namespace with only a single implementation.