Is Zakat obligatory on a certified check for purchasing a house, the ownership of which was not transferred until two months later due to procedures related to a minor heir, knowing that the total duration of the money exceeds the Hawl (one lunar year) after the transfer of ownership?

You are not obligated to pay Zakat (definition) if the certified check has left your possession, and you cannot dispose of the corresponding funds. However, if the check is still in your possession, or if the sale has not yet been completed, then Zakat is obligatory when a full year (hawl) has passed, because in this case, the money has not yet left your ownership.