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https://hdl.handle.net/2445/48986| Title: | Uniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functions |
| Author: | Havin, V.P. Nersessian, A.H. Ortega Cerdà, Joaquim |
| Keywords: | Funcions de variables complexes Functions of complex variables |
| Issue Date: | Mar-2007 |
| Publisher: | Springer |
| 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. |
| Note: | Versió postprint del document publicat a: 10.1007/s11854-007-0003-3 |
| It is part of: | Journal d'Analyse Mathematique, 2007, vol. 101, num. 1, p. 65-93 |
| URI: | https://hdl.handle.net/2445/48986 |
| Related resource: | http://dx.doi.org/10.1007/s11854-007-0003-3 |
| ISSN: | 0021-7670 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 543137.pdf | 244.84 kB | Adobe PDF | View/Open |
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