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On page 81 of http://ellisskolfield.com/pdf/2012-T.O.pdf Ellis Skolfield argues that the building of the Dome of the Rock on the Jewish Temple mount following Khalifa Omar's conquest of Jerusalem is the abomination of desolation. The original source is Bishop Sophronius, who was the bishop of Jerusalem at the time and made the connection to Daniel's prophecy (Daniel 11:31), as well as Jesus' words in Matthew.
It is likely that Daniel's earlier prophecy refers to Antiochus IV Epiphanes' slaughter of a pig on the altar in Jerusalem. Comparing Daniel's prophecy and its supposed fulfillment with Matthew's prophesy may be helpful.