Havin, V.P.Nersessian, A.H.Ortega Cerdà , Joaquim2014-01-172014-01-172007-030021-7670https://hdl.handle.net/2445/48986We study the possibility of splitting any bounded analytic function $f$ with singularities in a closed set $E\cup F$ as a sum of two bounded analytic functions with singularities in $E$ and $F$ respectively. We obtain some results under geometric restrictions on the sets $E$ and $F$ and we provide some examples showing the sharpness of the positive results.29 p.application/pdfeng(c) The Hebrew University of Jerusalem, 2007Funcions de variables complexesFunctions of complex variablesUniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functionsinfo:eu-repo/semantics/article5431372014-01-17info:eu-repo/semantics/openAccess