One Pedersen played in the trio Detail, together with Frode Gjerstad (saxophone) and John Stevens (drums) from 1981, and released several albums on the free jazz company Circulasione Totale. Here he also published his own debut album Solo mio! (1981). In 1984 he released the album I 1984 utga han platen Keep Nose in Front, with his former group, Aha! The band name created confusion when another famous pop trio debuting with the same name almost at the same time. Later they changed the name to Extended Noise in 1986 and released several albums. Another project was the band Calling Signals, where he collaborated with Paal Nilssen-Love (drums), Frode Gjerstad (saxophone) and Nick Stephens (bass).
One Pedersen plsyed with Terje Isungset on his performance at Vossajazz 2003. He released a duo album with Katja Medbe, Ett bein p jorda, ett i himmelen - helt korrekt (1992), with poems by Rolf Jacobsen, and performed with Erik Balke (1996). More recently, he played on the debut album Heaveny attack (2004) by Randi Tytingvg, as well as Villhund (2006) by Elin Furubotn.
Otherwise, he has been a member of the expert jury for Melodi Grand Prix 1979, lead the Association Norwegian jazz musicians some time, and composed commissioned work Ein med alt for the MaiJazz 1996.