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Analysis on quasidisks; a unified approach through transmission and jump problems

2020/09/03 by Eric Schippers, Wolfgang Staubach, Schippers, Eric +1
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Mathematical functions and polynomials #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2009.01954

Abstract

We give an exposition of results from a crossroad between geometric function theory, harmonic analysis, boundary value problems and approximation theory, which characterize quasicircles. We will specifically expose the interplay between the jump decomposition, singular integral operators and approximation by Faber series. Our unified point of view is made possible by the the concept of transmission.

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