Combine granulated sugar, flour, and salt in the top of a double boiler. Gradually stir in milk. Cook, stirring constantly with a whisk, over boiling water for 10 miutes or until thickened. Cover and cook 10 minutes, stirring occasionally.
In a bowl, beat egg. Add a small amount of milk mixture and blend. Add back to double boiler and cook 2 minutes. Remove from heat and add butter and vanilla. Cool completely.
Line pie crust with about half of banana slices. Pour half of milk mixture over bananas. Make a layer of remaining banana slices. Top with remaining milk mixture. Chill several hours. When ready to serve, whip cream and powdered sugar until stiff. Spread over pie.
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