White Stains on stainless steel
These are probably mineral deposits.  Boiling water or washing with hard(er) water can leave them.

You can scrub with a plastic pad, use vinegar, etc.  I have found that denture cleaner works well for this.  Drop one or two tablets in a pan full of cold water, let it sit for 20 mintues, and then rinse it well.  A sponge or plastic abrasive pad should remove any remanents easily.

The film will probably reappear in a few months, so regular treatment is recommended.  As for the denture cleaner, a generic brand with a hundred or so tablets will cost you a couple bucks.  Also good for cleaning stains off porcelain.

That said, it shouldn't affect the flavor or healthfulness of your food.