Monotone Jacobi parameters and non-Szego weights

2007/11/16 by Yury Kreimer, Kreimer, Yury, Yoram Last +3 · 1 citation
Mathematics · #33C45 #34L05 #47B15 #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical functions and polynomials #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.0711.2701

openalex publication_date 2007/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We relate asymptotics of Jacobi parameters to asymptotics of the spectral weights near the edges. Typical of our results is that for a_n≡ 1, b_n =-C n^-β (0

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