Can anyone tell me what type of cake this is?
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It looks like the fruit-topped layer cakes they sell at a Swedish bakery in my neighborhood. They don't have any special name that I know of.
They are typically yellow cakes with a layer of jam spread between the layers and a glazed fruit or mixed fruit topping. The frosting is a whipped cream frosting with something added to keep the cream stable.
It depends on the white outside. It looks to me a little like a Spanische Windtorte such as is on the cover of the time life cooking of vienna's empire cookbook. It's a more refined version of a pavlova - made of a base of meringue, then rings of meringue built up around the edges, baked separately and then "glued" together with more meringue to make a sort of basket, and then filled with fruit and whipped cream. I made it once, and it's incredible, but a lot of work and somewhat tricky because the meringue rings tend to break when you try to stack them etc.
Another possibiloity is an angel cake baked in a tube pan, the inside filled with fruit and then frosted outside with whipped cream.