How do I restore a splattered disclored stainless steel oven top?

I do not know what it was splattered with (three splatteres each the size of a nickel) but instead of the stainless steel luster it looks gray and I cannot polish it out.

Answers:
I like a few products and almost all will do the job. Barkeepers friend is the cheapest at the grocery store around $1.99 here, but sometimes doesn't leave enough shine for me. Zep, found at the Home Depot around $3.99, is a spray on that you let haze over that leaves a nice shine but doesn't always take away really burnt on thick stains. Kleen King Stainless Steel cleaner and polisher is around $5.00 here and very hard to find. It works well as a cleaner for burnt on stuff and leaves a nice shine afterward. I have a whole closet full of other stuff, none of which were worth the time nor money I spent to purchase them!

Other answers:
befor you give up on your range top,check out the site below.may save you a lot of trouble.
befor you give up on your range top,check out the site below.may save you a lot of trouble.
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