Function with generic type as member variable

I have a function which maps a class object to an instance of this class.
Basically:

 Function<Class<T>, T> fun;

I can define this function within a method but when trying to put this in a member variable, the compiler complains because the type T is unknown.

So, T is not specific to the enclosing object. It might differ from call to call. What is the correct syntax to define such a function on class level?

EDIT

I would like to clarify. I have class A

public class A {
  public <T> T get(Class<T> clazz) {...}
}

Now, I want to hand a pointer to that function to class B like this:

public class B {
  <T> Function<Class<T>, T> fun;
  
  public <T> T get(Class<T> clazz) {
    return fun.apply(clazz);
  }
}

However, the Syntax for <T> Function<Class<T>, T> fun is incorrect. Is there a way to keep the information, that fun will always retain the type T?

My current solution is

public class B {
  Function<Class<?>, ?> fun;

  public <T> void setFun(Function<Class<T>, T> fun) {
    this.fun = fun;
  }

  public <T> T get(Class<T> clazz) {
    return (T) fun.apply(clazz);
  }
}

This works (and is obviously correct via invariant) but kinda ugly because of the required cast.

In Java (and JVM) values are not polymorphic, methods are.

So correct is to define it with a method

<T> Function<Class<T>, T> fun();

https://stackoverflow.com/questions/34886128/polymorphic-values-in-java

Regarding EDIT.

> Now, I want to hand a pointer to that function to class B like this:
>
> public class B {
> <T> Function<Class<T>, T> fun;
>
> public <T> T get(Class<T> clazz) {
> return fun.apply(clazz);
> }
> }

Once again, a value (including a field) can't be polymorphic, method can.

• So you can make fun a method

   public abstract class B {
      abstract <T> Function<Class<T>, T> fun();
  
      public <T> T get(Class<T> clazz) {
          return this.<T>fun().apply(clazz);
      }
   }
  

  You can't write setter like setFun. Its signature should be something like

   public void setFun(<T> Function<Class<T>, T> fun); // pseudocode
  

  rather than

   public <T> void setFun(Function<Class<T>, T> fun);
  

  <T> Function<Class<T>, T> is called rank-N type and it's absent in Java

  https://stackoverflow.com/questions/12031878/what-is-the-purpose-of-rank2types

  https://wiki.haskell.org/Rank-N_types

• Alternatively, you can wrap polymorphic fun with a class (interface)

  public interface PolyFunction {
      <T> T apply(Class<T> clazz);
  }
  
  public class B {
      PolyFunction fun;
  
      public void setFun(PolyFunction fun) {
          this.fun = fun;
      }
  
      public <T> T get(Class<T> clazz) {
          return fun.apply(clazz);
      }
  }
  

  PolyFunction looks like your A so maybe you want

  public class B {
      A a;
  
      public void setA(A a) {
          this.a = a;
      }
  
      public <T> T get(Class<T> clazz) {
          return a.get(clazz);
      }
  }