The entity referenced in the query—"Norwegian Army Air Service"—never existed under that name. You are likely referring to the Royal Norwegian Air Force (RNoAF) (Luftforsvaret), established on November 1, 1944.
On November 1, 1944, the King (in exile in London) decreed the merger of the Army and Navy air services into a single, independent branch: the Royal Norwegian Air Force. This date is celebrated as the RNoAF's founding.
So, if you're asking about the Army's air arm, it began in 1912. If you mean the unified, independent Air Force, it was 1944.