Thank you for your question.
You might be confusing our Scrum.org product ownership program (PSPO) with the Scrum Alliance (CSPO).
Even so, I think you are wondering about transitioning from the role of Business Analyst to a Scrum product ownership role. If this is the case and you are looking to learn more about Scrum Product Ownership in general, I recommend starting by reading the Scrum Guide, http://scrum.org/Scrum-Guides
Checking out Ken Schwaber's book, Agile Project Management with Scrum, http://www.amazon.com/Project-Manag...inw_strp_1
And having a look at the PSPO information.
I hope this helps!