2019/09/30 by Grzegorz Świderski, Bartosz Trojan · 9 citations
Mathematics · Physics and Astronomy · #Christoffel symbols #Class (philosophy) #Computer science #Geometry #Kernel (algebra) #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Physics #Pure mathematics #Quantum chaos and dynamical systems #Recurrence relation #Scaling #Spectral Theory in Mathematical Physics #Term (time) #math-ph #math.CA #math.MP #math.SP #msc:42C05 #msc:47B36
paper · pdf · doi:10.1007/s00365-020-09519-w
published in Constructive Approximation 54(1), 49-116 (Springer Science+Business Media) · 47 pages
arxiv created 2020/09/16 · openalex publication_date 2020/09/23 · arxiv updated 2021/08/09 · openalex created_date 2022/05/11 · openalex updated_date 2026/08/05
Abstract For Jacobi parameters belonging to one of three classes: asymptotically periodic, periodically modulated, and the blend of these two, we study the asymptotic behavior of the Christoffel functions and the scaling limits of the Christoffel–Darboux kernel. We assume regularity of Jacobi parameters in terms of the Stolz class. We emphasize that the first class only gives rise to measures with compact supports.