HT4527: iTunes: How to move your music to a new computerLearn about iTunes: How to move your music to a new computer
Currently Being ModeratedJan 8, 2013 9:59 AM (in response to Beer1982)
You can't. You need the original music files from the stolen computer to do this. Sorry for the bad news
Currently Being ModeratedJan 8, 2013 10:33 AM (in response to Beer1982)
Use the backup of the computer to put everything back.
iDevices are not and have never been backup devices.
If for some reason you have failed to maintain a backup, there are software programs that claim to be able to recover media from iPhones that does not exist in iTunes. Do a google search... it's simply not an iPhone, iTunes, or Apple issue.