期刊论文详细信息
Canadian mathematical bulletin
A Free Logarithmic Sobolev Inequality on the Circle
关键词: Blaschke products;    Hardy spaces;    Bergman spaces;   
DOI  :  10.4153/CMB-2006-039-7
学科分类:数学(综合)
来源: University of Toronto Press * Journals Division
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【 摘 要 】

Free analogues of the logarithmic Sobolev inequality compare the relativefree Fisher information with the relative free entropy. In the present papersuch an inequality is obtained for measures on the circle. The method isbased on a random matrix approximation procedure, and a large deviationresult concerning the eigenvalue distribution of special unitary matrices isapplied and discussed.

【 授权许可】

Unknown   

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