Orthogonal polynomials on the disk in the absence of finite moments

2015/02/05 by Gibson, Peter C.
#33C50 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.05402

Abstract

We introduce a new family of orthogonal polynomials on the disk that has emerged in the context of wave propagation in layered media. Unlike known examples, the polynomials are orthogonal with respect to a measure all of whose even moments are infinite.

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