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.issued
2014-01-17T11:18:06Z
dc.date.issued
2014-01-17T11:18:06Z
dc.date.issued
2007-03
dc.date.issued
2014-01-17T11:18:06Z
dc.identifier
0021-7670
dc.identifier
https://hdl.handle.net/2445/48986
dc.identifier
543137
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
29 p.
dc.format
application/pdf
dc.format
application/pdf
dc.language
eng
dc.publisher
Springer
dc.relation
Versió postprint del document publicat a: 10.1007/s11854-007-0003-3
dc.relation
Journal d'Analyse Mathematique, 2007, vol. 101, num. 1, p. 65-93
dc.relation
http://dx.doi.org/10.1007/s11854-007-0003-3
dc.rights
(c) The Hebrew University of Jerusalem, 2007
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Funcions de variables complexes
dc.subject
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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