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math.CV2026
Analysis of Log-Weighted Quadrature Domains
Andrew Graven
This paper studies plane domains satisfying a quadrature identity with respect to the singular weight . These are referred to as log-weighted quadrature domains (L…
math.CV2025
Quadrature Domains and the Faber Transform
Andrew J. Graven, Nikolai G. Makarov
We present a framework for reconstructing any simply connected, bounded or unbounded, quadrature domain from its quadrature function . Using the Faber transform, we derive f…