Asymptotic behaviour of quasi-orthogonal polynomials

2003/07/04 by E. B. Davies, Davies, E. B.
Mathematics · #33Cxx #34Exx #47Axx #47Bxx #81Q20 #FOS: Mathematics #Mathematical functions and polynomials #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP #msc:33Cxx #msc:34Exx #msc:47Axx #msc:47Bxx #msc:81Q20

paper · pdf · doi:10.48550/arxiv.math/0307061

arxiv created 2003/07/04 · openalex publication_date 2003/07/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain explicit upper and lower bounds on the norms of the spectral projections of the non-self-adjoint harmonic oscillator. Some of our results apply to a variety of other families of orthogonal polynomials.

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