Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
Fredholm determinants, Jimbo‐Miwa‐Ueno τ‐functions, and representation theory
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DOI：
10.1002/cpa.10042
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发表时间：
2001-11
影响因子：
3
通讯作者：
A. Borodin;P. Deift
中科院分区：
文献类型：
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作者：
A. Borodin;P. Deift
作者证明了在“大”群的表示论中出现的一大类Fredholm行列式，例如无限维酉群，可以解决Painlevé方程。他们的方法基于可积算子理论和黎曼-希尔伯特问题理论。© 2002 Wiley Periodicals，Inc.
The authors show that a wide class of Fredholm determinants arising in the representation theory of “big” groups, such as the infinite‐dimensional unitary group, solve Painlevé equations. Their methods are based on the theory of integrable operators and the theory of Riemann‐Hilbert problems. © 2002 Wiley Periodicals, Inc.