Interpolating functions for a family of domains related to μ-synthesis

2022/05/09 by Roy, Samriddho
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2205.04191

Abstract

Assuming the existence of an analytic interpolant mapping a two-point data from the unit disc \mathbbD to \widetilde\mathbbG_n, we describe a class of such interpolating functions where \widetilde\mathbbG_n := \ (y₁,…, y_n-1, q)∈ ℂⁿ : q ∈ \mathbbD, y_j = β_j + β_n-j q, β_j ∈ ℂ and |β_j|+ |β_n-j| lt; n \choose j for j=1,…, n-1 \. We present the connection of \widetilde\mathbbG_n with the μ-synthesis problem.

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