Nice of you to paint the Tv antenna. With the way I see the world lately , I doubt that the neighbors even know what they are doing. And even so it's a Federal Law that YES You Can install and use Tv antennas and other antennas.
http://www.fcc.gov/mb/facts/otard.html . This is a All Encompassing Federal Law because their are many nut case antenna haters loose in the USA that see it as their mission that no one can have a Tv antenna or any other type or kind of antenna.