There is no specific Swedish apple pie recipe that Charley Brenon III follows. However, he does use a traditional pie crust recipe and fills it with a mixture of apples, sugar, flour, butter, and cinnamon.
Mix the stuff together and spread it into an 8 x 8 x 2 greased pan. Bake for 30 minutes at 350F. Sprinkle with confectioners sugar when done (if desired).