Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices
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| Creator |
Rosengren, H.
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| Description |
We study multivariable Christoffel-Darboux kernels, which may be viewed as reproducing kernels for antisymmetric orthogonal polynomials, and also as correlation functions for products of characteristic polynomials of random Hermitian matrices. Using their interpretation as reproducing kernels, we obtain simple proofs of Pfaffian and determinant formulas, as well as Schur polynomial expansions, for such kernels. In subsequent work, these results are applied in combinatorics (enumeration of marked shifted tableaux) and number theory (representation of integers as sums of squares).
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| Date |
2019-02-06T17:23:16Z
2019-02-06T17:23:16Z 2006 |
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| Type |
Article
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| Identifier |
Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices / H. Rosengren // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 32 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 15A15; 15A52; 42C05 http://dspace.nbuv.gov.ua/handle/123456789/146068 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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