Abstract
In this note we give two other proofs of an identity of A. Borodin and A. Okounkov which expresses a Toeplitz determinant in terms of the Fredholm determinant of a product of two Hankel operators. The second of these proofs yields a generalization of the identity to the case of block Toeplitz determinants.
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References
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Supported by National Science Foundation grant DMS-9970879.
Supported by National Science Foundation grant DMS-9732687.
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Basor, E.L., Widom, H. On a Toeplitz determinant identity of Borodin and Okounkov. Integr equ oper theory 37, 397–401 (2000). https://doi.org/10.1007/BF01192828
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DOI: https://doi.org/10.1007/BF01192828