In a stand mixer fitted with the paddle attachment, cream the butter, brown sugar, vanilla, and espresso powder on medium speed until just uniform, about 1 minute. Add the flour and salt and mix on medium-low speed until it just comes together. Stir in the walnuts.

Form the dough into a 2-inch thick log. Wrap in plastic and refrigerate for at least an hour. You can do this step a couple of days in advance of baking or freeze for 1 month.

Preheat the oven to 325°F. Line baking sheets with parchment paper.

Cut the log into slices ¼ inch thick and arrange the cookies on the prepared baking sheets.

Bake, one sheet at a time, in the middle of the oven for 12 to 14 minutes, until golden on the bottom. Cool the cookies until firm on the baking sheet and then move to a cooling rack.