Try to clean it with water and isopropyl. Internet says:
NEVER spray the glass cleaner directly onto the display. ... Never use ammonia-based glass cleaners, such as Windex, on your touch screen. The ammonia will destroy the screen membrane and cause permanent discoloration. In more severe cases, it will result in touch screens not working appropriately.
To clean your screen, use a screen cleaning wipe or a soft, dry, lint-free cloth. When necessary, you can dampen the cloth with one of the following: water, isopropyl alcohol (IPA) solution 70% or less, or eyeglass cleaner. Never use glass cleaner or other chemical cleaners. Keep it out of the sun.
/Ubbe