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I want to find an application of the Toeplitz operators. All I need is a known problem (not an open problem) which solution use the theory of Toeplitz operators. I don't need all the details but I need the reason why the Toeplitz operator becomes important in the solution.

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Maybe this : pnas.org/content/83/10/3072.full.pdf –  jjcale May 21 '13 at 18:51

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