2018/12/23 by James Tipton, Tipton, James
Computer Science · Engineering · Mathematics · #37F10 #47B32 #Advanced Numerical Analysis Techniques #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical functions and polynomials #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.1812.09757
openalex publication_date 2018/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the paper "Infinite product representations for kernels and iterations of\nfunctions", the authors associate certain Fatou subsets with reproducing kernel\nHilbert spaces. They also present a method for constructing an orthonormal\nbasis for said Hilbert space, but the method depends on the polynomial of the\ngiven Fatou set. We provide a partial classification of those polynomials the\nmethod applies to.\n