I used the black 3M weatherstripping glue. Becareful, as I believe it's the same thing the wooly mammoths got stuck in back in the tar pits of pre-historic times ... very sticky stuff that won't come out of anything it touches.
Coat the whole back side of the weatherstripping with it and let it completely set up. Then apply new glue to the weatherstripping in 2-3 foot sections as you work it into the chrome trough.
I think the other guys are talking about how they attach the weatherstrip to the trough. I used the black weatherstrip adhesive there too. However, to attach the trough to the roof of the car, I used 3M 08551 clear auto sealer. It is really fun to work with! I also laid a coating of that over my cowl, using my son's Estee's launch pad rod, some washer hose and bailing wire to get in there without cutting the cowl off!
Steve Leslie, 65 coupe in restoration. 302, toploader, A/C, disc brakes, bench seat
Originally, it was black foam adhesive tape about 7/8" wide and 1/8" thick. You can find it at glass shops or Wal-Mart has some useable stuff too. 3M sells the stuff in 60 foot rolls but it's too expensive for one car.
National Parts Depot
1965 Conv:Street driven concours
1966 Coupe: Daily driver and toy