The song you hear in the Polaroid One 'Swing' commercial is called Doo Uap, Doo Uap, Doo Uap, by the Italian musical duo Gabin. The song is featured on their self-titled debut CD, which was released in 2002 by the Astralwerks label.
The following is from an online review by Rolling Stone:
'On their debut, Max Bottini and Filippo Clary serve up a dozen moody grooves perfect for a post-clubbing nightcap . . . Doo Uap, Doo Uap, Doo Uap, a loop from Duke Ellington's It Don't Mean a Thing (If It Ain't Got That Swing) fitted to a house beat, is a slinky dance-pop gem that scored the duo a Top Five hit in their native Italy . . . Rife with jazzy textures and urban sophistication, Gabin is an ideal soundtrack for cappuccino kids and chill-out rooms.'
Here are some links:
www.astralwerks.com **Hear the entire song here!