Automatically run a program as administrator on limited user's desktop

I am using Windows 7 x64. I have several programs I would like to start automatically with administrator privileges on a limited user desktop. In task scheduler I can schedule a start as administrator at each logon of the limited user. The problem is when I do this it starts in session 0. In other words, the GUI of the program is not on the user's desktop. I can change the task scheduler entry...