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

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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.
10 pages

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Functional Analysis, Combinatorics, 47B35

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http://salesiana.dossiersoluciones.com/handle/123456789/60672

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101008
 http://arxiv.org/abs/math/0101008

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arXiv