Abstract
A series of analytic and geometric features of generalized lemniscates are presented from an elementary and unifying point of view. A novel interplay between matrix theory and elementary geometry of planar algebraic curves is derived, with a variety of applicationvalue problem and Hardy space estimates to a root separation algorithm.
Paper supported by the National Science Foundation Grant DMS 0100367.
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Putinar, M. (2005). Notes on Generalized Lemniscates. In: Alpay, D., Vinnikov, V. (eds) Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations. Operator Theory: Advances and Applications, vol 157. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7303-2_9
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