Normed Domains of Holomorphy
We treat the classical concept of domain of holomorphy in ℂn when the holomorphic functions considered are restricted to lie in some Banach space. Positive and negative results are presented. A new view of the case n=1 is considered.
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/648597 |
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| _version_ | 1832554265382486016 |
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| author | Steven G. Krantz |
| author_facet | Steven G. Krantz |
| author_sort | Steven G. Krantz |
| collection | DOAJ |
| description | We treat the classical concept of domain of holomorphy in ℂn when the holomorphic functions considered are restricted to lie in some Banach space. Positive and negative results are presented. A new view of the case n=1 is considered. |
| format | Article |
| id | doaj-art-033c06f5391742f7bef6242bebec4fb5 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-033c06f5391742f7bef6242bebec4fb52025-02-03T05:51:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/648597648597Normed Domains of HolomorphySteven G. Krantz0Department of Mathematics, Washington University in St. Louis, St. Louis, MI 63130, USAWe treat the classical concept of domain of holomorphy in ℂn when the holomorphic functions considered are restricted to lie in some Banach space. Positive and negative results are presented. A new view of the case n=1 is considered.http://dx.doi.org/10.1155/2010/648597 |
| spellingShingle | Steven G. Krantz Normed Domains of Holomorphy International Journal of Mathematics and Mathematical Sciences |
| title | Normed Domains of Holomorphy |
| title_full | Normed Domains of Holomorphy |
| title_fullStr | Normed Domains of Holomorphy |
| title_full_unstemmed | Normed Domains of Holomorphy |
| title_short | Normed Domains of Holomorphy |
| title_sort | normed domains of holomorphy |
| url | http://dx.doi.org/10.1155/2010/648597 |
| work_keys_str_mv | AT stevengkrantz normeddomainsofholomorphy |