On a Toeplitz determinant identity of Borodin and Okounkov

被引:47
作者
Basor, EL [1 ]
Widom, H
机构
[1] Calif Polytech State Univ San Luis Obispo, Dept Math, San Luis Obispo, CA 93407 USA
[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
关键词
47B35;
D O I
10.1007/BF01192828
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:397 / 401
页数:5
相关论文
共 5 条
[1]  
BASOR E, 1980, J OPERAT THEOR, V3, P23
[2]  
BORODIN A, MATHCA9907165
[3]  
Bottcher A., 1989, ANAL TOEPLITZ OPERAT
[4]   TOEPLITZ DETERMINANTS WITH SINGULAR GENERATING FUNCTIONS [J].
WIDOM, H .
AMERICAN JOURNAL OF MATHEMATICS, 1973, 95 (02) :333-383
[5]   ASYMPTOTIC-BEHAVIOR OF BLOCK TOEPLITZ MATRICES AND DETERMINANTS .2. [J].
WIDOM, H .
ADVANCES IN MATHEMATICS, 1976, 21 (01) :1-29