Jackson,
A thin, even film of aerosol hairspray will ‘deaden’ the reflection from the glass, but also cause an effect on what you are shooting. It’s a trade-off. It looks like lens filter. Not all hairsprays are created equal. Try a cheap one.
Jeff
2-Xeon X5680 @ 3.33, EVGA SR-2 Mobo, 48GB DDR3, GTX 580 3072MB, 16TB Attached Storage, Win7, Vegas 11 x64