A Boeing Co. 737 passenger aircraft, operated by Norwegian Air Shuttle ASA

Have you ever wanted to go to Europe? Or to Newburgh, N.Y.? Well, you may be in luck.

Norwegian Air, a budget carrier hoping to make a name for itself in the American market, began promoting dirt-cheap, no-frills tickets from the United States to Ireland, Northern Ireland and Scotland last week. One eye-catching promotion even offered one-way tickets to Ireland for $65.