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arXiv math/0101008math.FAmath.CO

On the determinant formulas by Borodin, Okounkov, Baik, Deift, and Rains

A. Boettcher

英文摘要:

We give alternative proofs to (block case versions of) some formulas for Toeplitz and Fredholm determinants established recently by the authors of the title. Our proof of the Borodin-Okounkov formula is very short and direct. The proof of the Baik-Deift-Rains formulas is based on standard manipulations with Wiener-Hopf factorizations.

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