Uniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functions
| dc.contributor.author | Havin, V.P. | |
| dc.contributor.author | Nersessian, A.H. | |
| dc.contributor.author | Ortega Cerdà, Joaquim | |
| dc.date.accessioned | 2014-01-17T11:18:06Z | |
| dc.date.available | 2014-01-17T11:18:06Z | |
| dc.date.issued | 2007-03 | |
| dc.date.updated | 2014-01-17T11:18:06Z | |
| dc.description.abstract | We 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. | |
| dc.format.extent | 29 p. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.idgrec | 543137 | |
| dc.identifier.issn | 0021-7670 | |
| dc.identifier.uri | https://hdl.handle.net/2445/48986 | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.isformatof | Versió postprint del document publicat a: 10.1007/s11854-007-0003-3 | |
| dc.relation.ispartof | Journal d'Analyse Mathematique, 2007, vol. 101, num. 1, p. 65-93 | |
| dc.relation.uri | http://dx.doi.org/10.1007/s11854-007-0003-3 | |
| dc.rights | (c) The Hebrew University of Jerusalem, 2007 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | |
| dc.subject.classification | Funcions de variables complexes | |
| dc.subject.other | Functions of complex variables | |
| dc.title | Uniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functions | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/acceptedVersion |
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