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- 关键词：Random matrices ; Tracy– ; Widom operators
- 刊名：Reinforced Plastics
- 出版年：2008
- 期刊代码：95_00343617
- 类别：ms
- 出版时间：May 2008
- 卷：52
- 期：5
- 页码：13
- 文件大小：55 K
摘要
Suppose that Γ is a continuous and self-adjoint Hankel operator on L2(0,∞) with kernel 
(x+y) and that 18c1c4">
with c152cb2b71d5d97ddcb94400b8" title="Click to view the MathML source" alt="Click to view the MathML source">a(0)=0. If a and b are both quadratic, hyperbolic or trigonometric functions, and satisfies a suitable form of Gauss's hypergeometric differential equation, or the confluent hypergeometric equation, then ΓL=LΓ. The paper catalogues the commuting pairs Γ and L, including important cases in random matrix theory. There are also results proving rapid decay of the singular numbers of Hankel integral operators with kernels that are analytic and of exponential decay in the right half-plane.
(x+y) and that 18c1c4"> satisfies a suitable form of Gauss's hypergeometric differential equation, or the confluent hypergeometric equation, then ΓL=LΓ. The paper catalogues the commuting pairs Γ and L, including important cases in random matrix theory. There are also results proving rapid decay of the singular numbers of Hankel integral operators with kernels that are analytic and of exponential decay in the right half-plane.