Special Transformations

Vladimir N. Dubinin
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Vladimir N. Dubinin: Far Eastern Federal University, Institute of Applied Mathematics

Chapter Chapter 3 in Condenser Capacities and Symmetrization in Geometric Function Theory, 2014, pp 61-87 from Springer

Abstract: Abstract Let E be a compact subset of the plane $$\overline{\mathbb{C}}$$ . A map T : E $$\rightarrow\overline{\mathbb{C}}$$ is called a contraction if $$|T(z)-T(\zeta)|\;\leqslant \;|z-\zeta|$$ for all $$z, \zeta\;\in\;E$$ .

Keywords: Imaginary Axis; Special Transformation; Average Transformation; Admissible Domain; Starlike Domain (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-0348-0843-9_3

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