Dell XPS 13 9343 matte display appears greasy when displaying white background

Hi all,

I just received my Dell XPS 13 (Early 2015 version). I have the matte display version. 

Now everything is working fine with the laptop, except the fact that whenever the laptop displays any white backgrounds (say this forum/ a word file) it seems as if the display is somewhat greasy (although this is obviously not the case). It seems as if there is some kind of grainy texture or a layer of grease on the display (at least this is the best way I can think of to describe it). Now this effect is most clearly recognizable if I put the brightness to the maximum.  If I turn down the brightness or lean the display more towards me (thereby changing the viewing angle) this effect seems to disappear.

I am not sure whether anyone else  had a similar issue. I have to say that I am changing to this laptop from my old laptop, which had a glossy display, so I might just need to get used to the new display. But I still wanted to check whether this might not be a defect with the display.

Thanks for the help!