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>Is the function name from the call still somewhere in the lua stack or 
>can I somehow else retrieve the function name under which it was called ?

If you register the same C function with different names in Lua, they are 
actually different objects in Lua and you can use the debug interface to find
the name it was registered. Try this:

static int F(lua_State *L) 
{
 lua_Debug ar;
 lua_getstack(L,0,&ar);
 lua_getinfo(L,"n",&ar);
 printf("F called as %s\n",ar.name);
 return 0;
}

  lua_register(L,"F",F);
  lua_register(L,"G",F);

--lhf