Story highlights Man claims in filing he is sole owner of Prince's intellectual property

Prince's family in court Monday; a special administrator appointed

A source tells CNN initial meetings with singer's siblings were contentious

Chaska, Minnesota (CNN) A court hearing to determine the fate of Prince's estate -- including the contents of a secretive vault the musician left behind at Paisley Park -- concluded Monday with a special administrator appointed but no will discovered.

While a search for the late pop icon's will continues, the court appointed St. Paul-based Bremer Trust as special administrator during the proceeding in Chaska, Minnesota, outside Minneapolis.

The court determined that all possible heirs have been reached and have been provided the opportunity to be included in the petition filed by Prince's sister, Tyka Nelson, said First Judicial District Judge Kevin Eide.

What resides in the vault at Paisley Park is anyone's guess, but Prince's half-brother, Alfred Jackson, told CNN that if it contains music, he wants the world to hear it.

That, of course, may not be up to him, as all but one of Prince's living siblings and half-siblings signed off on Bremer Trust as administrator. Half-brother John Nelson was the only holdout, but that doesn't mean he opposes the move -- only that he didn't actually sign it.