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On the zero sets of bounded holomorphic functions in the bidisc.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Charpentier, Philippe Ortega-Cerdà , Joaquim |
| Copyright Year | 1996 |
| Abstract | In this work we prove in a constructive way a theorem of Rudin which says that if $E$ is an analytic subset of the bidisc $D^2$ (with multiplicities) which does not intersect a neighbourhood of the distinguished boundary, then $E$ is the zero set (with multiplicities) of a bounded holomorphic function. This approach allows us to generalize this theorem and also some results obtained by P.S. Chee. |
| Starting Page | 327 |
| Ending Page | 346 |
| Page Count | 20 |
| File Format | PDF HTM / HTML |
| Volume Number | 174 |
| Alternate Webpage(s) | https://msp.org/pjm/1996/174-2/pjm-v174-n2-p02-p.pdf |
| Alternate Webpage(s) | http://upcommons.upc.edu/bitstream/handle/2117/827/9402ortega.pdf;jsessionid=B61836A02B34DF992FF6ECBE5F50A9FF?sequence=1 |
| Alternate Webpage(s) | https://msp.org/pjm/1996/174-2/pjm-v174-n2-p02-s.pdf |
| Alternate Webpage(s) | https://doi.org/10.2140/pjm.1996.174.327 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
