This recipe can be made using any fresh mild-flavored white fish, such as cod, sole, sea bass, or flounder.
Combine shallot, wine, and lemon juice in a small skillet; set over high heat. Bring to a boil; simmer until liquid is reduced to 1/4 cup, about 10 minutes. Remove from heat; whisk in butter, capers, 1/4 teaspoon salt, a pinch of pepper, and 3/4 of the herbs. Set aside; keep warm.
Heat a large skillet over medium-high heat; add 3 tablespoons sauce. Season both sides of fillets with remaining 3/4 teaspoon salt and a pinch of pepper. Arrange fillets and lemon slices in skillet; sprinkle with some herbs. Cook until fillets are golden, about 4 minutes. Turn, sprinkle with remaining herbs, and cook until fish is cooked through, about 3 minutes. Serve with lemon slices and remaining sauce.