Carleman’s Formulas in Complex Analysis Theory and Applications
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1993
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| Schriftenreihe: | Mathematics and Its Applications
244 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| 245 | 1 | 0 | |a Carleman’s Formulas in Complex Analysis |b Theory and Applications |c by Lev Aizenberg |
| 264 | 1 | |a Dordrecht |b Springer Netherlands |c 1993 | |
| 300 | |a 1 Online-Ressource (XX, 299 p) | ||
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| 490 | 0 | |a Mathematics and Its Applications |v 244 | |
| 500 | |a Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1) | ||
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Datensatz im Suchindex
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| author | Aizenberg, Lev |
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| dewey-full | 515.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.9 |
| dewey-search | 515.9 |
| dewey-sort | 3515.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-1596-4 |
| format | Electronic eBook |
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| id | DE-604.BV042423850 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T04:23:28Z |
| institution | BVB |
| isbn | 9789401115964 9789401046954 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859267 |
| oclc_num | 1184279111 |
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| physical | 1 Online-Ressource (XX, 299 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Springer Netherlands |
| record_format | marc |
| series2 | Mathematics and Its Applications |
| spelling | Aizenberg, Lev Verfasser aut Carleman’s Formulas in Complex Analysis Theory and Applications by Lev Aizenberg Dordrecht Springer Netherlands 1993 1 Online-Ressource (XX, 299 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 244 Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1) Mathematics Functions of complex variables Functions of a Complex Variable Signal, Image and Speech Processing Applications of Mathematics Mathematik Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Carleman-Methode (DE-588)4288492-5 gnd rswk-swf Carleman-Methode (DE-588)4288492-5 s Funktionentheorie (DE-588)4018935-1 s 1\p DE-604 https://doi.org/10.1007/978-94-011-1596-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aizenberg, Lev Carleman’s Formulas in Complex Analysis Theory and Applications Mathematics Functions of complex variables Functions of a Complex Variable Signal, Image and Speech Processing Applications of Mathematics Mathematik Funktionentheorie (DE-588)4018935-1 gnd Carleman-Methode (DE-588)4288492-5 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4288492-5 |
| title | Carleman’s Formulas in Complex Analysis Theory and Applications |
| title_auth | Carleman’s Formulas in Complex Analysis Theory and Applications |
| title_exact_search | Carleman’s Formulas in Complex Analysis Theory and Applications |
| title_full | Carleman’s Formulas in Complex Analysis Theory and Applications by Lev Aizenberg |
| title_fullStr | Carleman’s Formulas in Complex Analysis Theory and Applications by Lev Aizenberg |
| title_full_unstemmed | Carleman’s Formulas in Complex Analysis Theory and Applications by Lev Aizenberg |
| title_short | Carleman’s Formulas in Complex Analysis |
| title_sort | carleman s formulas in complex analysis theory and applications |
| title_sub | Theory and Applications |
| topic | Mathematics Functions of complex variables Functions of a Complex Variable Signal, Image and Speech Processing Applications of Mathematics Mathematik Funktionentheorie (DE-588)4018935-1 gnd Carleman-Methode (DE-588)4288492-5 gnd |
| topic_facet | Mathematics Functions of complex variables Functions of a Complex Variable Signal, Image and Speech Processing Applications of Mathematics Mathematik Funktionentheorie Carleman-Methode |
| url | https://doi.org/10.1007/978-94-011-1596-4 |
| work_keys_str_mv | AT aizenberglev carlemansformulasincomplexanalysistheoryandapplications |