One more proof of the Borodin-Okounkov formula for Toeplitz determinants

Details One more proof of the Borodin-Okounkov formula for Toeplitz determinants One more proof of the Borodin-Okounkov formula for Toeplitz determinants

2000-12-20

arxiv.org/abs/math/0012200v1

Mathematics

Functional Analysis

3 pages

Scientific paper

Recently, Borodin and Okounkov established a remarkable identity for Toeplitz determinants. Two other proofs of this identity were subsequently found by Basor and Widom, who also extended the formula to the block case. We here give one more proof, also for the block case. This proof is based on a formula for the inverse of a finite block Toeplitz matrix obtained in the late seventies by Silbermann and the author.

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