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1
Preheat the oven to 350.
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2
Butter an 8-inch-square baking pan and line the bottom with wax paper or parchment.
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3
In a food processor, finely grind 1 cup of the walnuts with 1/4 cup of the granulated sugar and 1/2 teaspoon of salt.
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4
In a medium bowl, using an electric mixer, beat 4 tablespoons of the butter with the remaining 3/4 cup of granulated sugar until pale and fluffy.
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5
Beat in the egg yolks, 1 at a time, making sure each is incorporated before adding the next.
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6
Stir in the ground walnuts.
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7
Beat the egg whites with a pinch of salt until stiff peaks form.
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8
Gently fold the beaten whites into the walnut batter, then pour into the prepared pan.
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9
Tilt the pan to evenly distribute the batter.
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10
Bake for about 40 minutes, or until the cake is set and begins to pull away from the side of the pan.
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11
Transfer to a rack and let cool for 10 minutes.
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12
Run a knife around the side of the pan and turn the cake out onto a serving plate to cool completely.
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13
In a food processor, pulse the remaining 1 cup of walnuts with the confectioners' sugar until finely ground.
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14
Add the remaining 4 tablespoons of butter and pulse until creamy.
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15
Spread the frosting evenly over the cake.
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16
Using the edge of a tablespoon, make a decorative pattern in the frosting.
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17
Cut the cake into 1-by-2-inch bars and serve.