On the Exponential Transform of Lemniscates

DOI10.1007/978-3-0348-0142-3_13zbMath1284.30025arXiv1101.0794OpenAlexW2167445581MaRDI QIDQ2911827

Björn Gustafsson, Vladimir G. Tkachev

Publication date: 3 September 2012

Published in: Notions of Positivity and the Geometry of Polynomials (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0794

zbMATH Keywords

lemniscateexponential transform

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Moment problems and interpolation problems in the complex plane (30E05) Appell, Horn and Lauricella functions (33C65)

Cites Work

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• The resultant on compact Riemann surfaces
• Quadrature domains
• Domains on which analytic functions satisfy quadrature identities
• Extremal solutions of the two-dimensional \(L\)-problem of moments. II
• Linear analysis of quadrature domains. II
• Development of the Hubbell rectangular source integral
• On a class of finitely determined planar domains
• Extremal solutions of the two-dimensional \(L\)-problem of moments
• Quadrature identities and the Schottky double
• Lemniscates do not survive Laplace growth
• Two-dimensional shapes and lemniscates
• The exponential transform: a renormalized Riesz potential at critical exponent

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