Pre-heat oven to 200°F.
Pat chops dry with a paper towel, and then generously sprinkle both sides with salt and pepper.
In a large skillet, heat the oil over medium-high heat.
Add the chops and sear on one side for about 4 to 5 minutes, until golden brown on the bottoms. Flip the chops over and sear the other sides for another 4 to 5 minutes. (The chops should be firm to the touch, but still have a little give).
Transfer the chops to the oven to keep warm while preparing the sauce.
Pour all but about 1 teaspoon of oil from pan and reduce the heat to medium.
Add the shallots and garlic and cook until soft, about 2 to 3 minutes.
Add the capers and cook for 30 seconds
Add the vinegar and cook until slightly reduced, about 2 minutes.
Add the stock, mustard, a pinch of salt and pepper. Cook until slightly thickened, about 2 - 3 minutes.
Stir in the cream.
Taste and adjust seasonings.
Place chops on plate or platter and pour sauce over them. Pass remaining sauce at the table.