On the theorem of Walsh-Runge
A version of the classical holomorphic and meromorphic approximation therems by Behnke-Stein and Walsh is proved in the case of a general, not necessarily smooth, one-dimensional complex space. It contains all the known results, which are briefly reviewed.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sapienza Università Editrice
2014-01-01
|
| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2014(3-4)/207-214.pdf |
| id |
doaj-17a3c1ba615d4f8ebdc8dadba82e3054 |
|---|---|
| record_format |
Article |
| spelling |
doaj-17a3c1ba615d4f8ebdc8dadba82e30542021-04-20T20:04:40ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502014-01-01353-4207214On the theorem of Walsh-RungeAlessandro Silva0Dipartimento di Matematica, Sapienza Università di RomaA version of the classical holomorphic and meromorphic approximation therems by Behnke-Stein and Walsh is proved in the case of a general, not necessarily smooth, one-dimensional complex space. It contains all the known results, which are briefly reviewed.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2014(3-4)/207-214.pdfholomorphic approximationmeromorphic approximation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alessandro Silva |
| spellingShingle |
Alessandro Silva On the theorem of Walsh-Runge Rendiconti di Matematica e delle Sue Applicazioni holomorphic approximation meromorphic approximation |
| author_facet |
Alessandro Silva |
| author_sort |
Alessandro Silva |
| title |
On the theorem of Walsh-Runge |
| title_short |
On the theorem of Walsh-Runge |
| title_full |
On the theorem of Walsh-Runge |
| title_fullStr |
On the theorem of Walsh-Runge |
| title_full_unstemmed |
On the theorem of Walsh-Runge |
| title_sort |
on the theorem of walsh-runge |
| publisher |
Sapienza Università Editrice |
| series |
Rendiconti di Matematica e delle Sue Applicazioni |
| issn |
1120-7183 2532-3350 |
| publishDate |
2014-01-01 |
| description |
A version of the classical holomorphic and meromorphic approximation therems by Behnke-Stein and Walsh is proved in the case of a general, not necessarily smooth, one-dimensional complex space. It contains all the known results, which are briefly reviewed. |
| topic |
holomorphic approximation meromorphic approximation |
| url |
https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2014(3-4)/207-214.pdf |
| work_keys_str_mv |
AT alessandrosilva onthetheoremofwalshrunge |
| _version_ |
1721517336946540544 |