In a small bowl whisk together olive oil, lemon juice, white wine vinegar, shallots, salt and pepper. Set aside. Peel asparagus into thin strips by holding the bottom woody portion of the spear and using a vegetable peeler, peel towards the tip in one motion. Continue to peel off thin strips until the spear is too flat and the peeler won't dig in. Turn what's left of the spear onto its side and continue to peel once or twice. You should be left with 1-2" of woody stem that was used as the handle. Discard this unused portion. In a medium size bowl toss together shaved asparagus and dressing. Set aside.