Nevai's condition for measures with unbounded supports
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917249664679936 |
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| author | Świderski, Grzegorz |
| author_facet | Świderski, Grzegorz |
| contents | We study Nevai's condition from the theory of orthogonal polynomials on the real line. We prove that a large class of measures with unbounded Jacobi parameters satisfies Nevai's condition locally uniformly on the support of the measure away from a finite explicit set. This allows us to give applications to relative uniform and weak asymptotics of Christoffel-Darboux kernels on the diagonal and to limit theorems for unconventionally normalized global linear statistics of orthogonal polynomial ensembles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nevai's condition for measures with unbounded supports Świderski, Grzegorz Classical Analysis and ODEs Probability Spectral Theory 42C05 (Primary) 47B36 (Secondary) We study Nevai's condition from the theory of orthogonal polynomials on the real line. We prove that a large class of measures with unbounded Jacobi parameters satisfies Nevai's condition locally uniformly on the support of the measure away from a finite explicit set. This allows us to give applications to relative uniform and weak asymptotics of Christoffel-Darboux kernels on the diagonal and to limit theorems for unconventionally normalized global linear statistics of orthogonal polynomial ensembles. |
| title | Nevai's condition for measures with unbounded supports |
| topic | Classical Analysis and ODEs Probability Spectral Theory 42C05 (Primary) 47B36 (Secondary) |
| url | https://arxiv.org/abs/2404.07566 |