Inverse problem for zeros of certain koebe-related functions |
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| Authors: | Donald Sarason Daniel Suarez |
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| Affiliation: | (1) Department of Mathematics, University of California, 94720 Berkeley, CA, USA;(2) Instituto Argentino de Matematicas, Viamonte 1636, 1er. Cuerpo, 1er. Piso, 1055 Buenos Aires, Argentina |
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| Abstract: | If w1,…,w N is a finite sequence of nonzero points in the unit disk, then there are distinct points λ1,…, λN on the unit circle and positive numbers Μ1,…,Μ N such that  is the zero sequence of the function 1 — ![$$sumnolimits_{l = 1}^N {left[ {mu _1 bar lambda _1 z/left( {1 - bar lambda _1 z} right)^2 } right]} $$](/content/g3250h101nx15614/11854_2007_Article_BF02788027_TeX2GIFIE2.gif) . The points λ1,…, λN and numbers Μ1,…,ΜN are unique (except for reorderings). |
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