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Hard to say what the problem is. I would recommend that you first try shutting it down completely by holding on/off and vol+ at the same time for 10 seconds.
If that doesn't help i recommend that you try making a repair of the software using a computer and the USB-cable. See this page for software: http://www.sonymobile.com/global-en/software/. Please note that when you make a repair of the software it will reset your tablet.