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Ellipses and Polynomial-to-Polynomial Mapping of Weighted Szego Projections
Published 25 Aug 2023 in math.CV | (2308.13650v1)
Abstract: We take a look at weighted Szego projections on ellipses and ellipsoids in light of some known results of real and complex potential theory. We show that on planar ellipses there is a weighted Szego projection taking polynomials to polynomials without increasing degree.
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