Integrable operators and the squares of Hankel operators
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arXiv
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| Format: | Preprint |
| Publié: |
2007
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| _version_ | 1866917782289907712 |
|---|---|
| author | Blower, Gordon |
| author_facet | Blower, Gordon |
| contents | Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distributions of large self-adjoint random matrices from the generalized unitary ensembles. This paper gives sufficient conditions for an integrable operator to be the square of a Hankel operator, and applies the condition to the Airy, associated Laguerre, modified Besses and Whittaker functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0709_2326 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | Integrable operators and the squares of Hankel operators Blower, Gordon Functional Analysis 47B35 Integrable operators arise in random matrix theory, where they describe the asymptotic eigenvalue distributions of large self-adjoint random matrices from the generalized unitary ensembles. This paper gives sufficient conditions for an integrable operator to be the square of a Hankel operator, and applies the condition to the Airy, associated Laguerre, modified Besses and Whittaker functions. |
| title | Integrable operators and the squares of Hankel operators |
| topic | Functional Analysis 47B35 |
| url | https://arxiv.org/abs/0709.2326 |