Afedersiniz Hesap Lutfen (which means "excuse me, check please" in Turkish), is Ed's father. He is a cartographer on Earth (a questionable occupation on a planet which undergoes changes to its landscape daily due to asteroid impacts).
In episode 24 of Cowboy Bebop, Ed put a 50.000 000 Oolong bounty on him, which Jet and Spike saw as 50 million Oolongs (it is in fact only 50) and decided to collect his bounty. This allowed Edward to find her father, who asked her if she wanted to come along with her, but left without hearing her answer because a meteor struck.