Analytic Functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1970
|
| Schriftenreihe: | Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen
162 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The present monograph on analytic functions coincides to a large extent with the presentation of the modern theory of single-value analytic functions given in my earlier works "Le theoreme de Picarc Borel et la theorie des fonctions meromorphes" (Paris: Gauthier-Villar 1929) and "Eindeutige analytische Funktionen" (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, VoL 46, 1: edition Berlin: Springer 1936, 2nd edition Berlin-Gottingen-Heidelberg Springer 1953). In these presentations I have strived to make the individual result and their proofs readily understandable and to treat them in the ligh of certain guiding principles in a unified way. A decisive step in thi direction within the theory of entire and meromorphic functions consisted in replacing the classical representation of these functions through ca nonical products with more general tools from the potential theor (Green's formula and especially the Poisson-Jensen formula). On thi foundation it was possible to introduce the quantities (the characteristic the proximity and the counting functions) which are definitive for th |
| Beschreibung: | 1 Online-Ressource (VIII, 376 p) |
| ISBN: | 9783642855900 9783642855924 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-642-85590-0 |
Internformat
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| 490 | 0 | |a Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen |v 162 |x 0072-7830 | |
| 500 | |a The present monograph on analytic functions coincides to a large extent with the presentation of the modern theory of single-value analytic functions given in my earlier works "Le theoreme de Picarc Borel et la theorie des fonctions meromorphes" (Paris: Gauthier-Villar 1929) and "Eindeutige analytische Funktionen" (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, VoL 46, 1: edition Berlin: Springer 1936, 2nd edition Berlin-Gottingen-Heidelberg Springer 1953). In these presentations I have strived to make the individual result and their proofs readily understandable and to treat them in the ligh of certain guiding principles in a unified way. A decisive step in thi direction within the theory of entire and meromorphic functions consisted in replacing the classical representation of these functions through ca nonical products with more general tools from the potential theor (Green's formula and especially the Poisson-Jensen formula). On thi foundation it was possible to introduce the quantities (the characteristic the proximity and the counting functions) which are definitive for th | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Nevanlinna, Rolf Herman 1895-1980 |
| author_GND | (DE-588)119315939 (DE-588)118834185 (DE-588)119089181 |
| author_facet | Nevanlinna, Rolf Herman 1895-1980 |
| author_role | aut |
| author_sort | Nevanlinna, Rolf Herman 1895-1980 |
| author_variant | r h n rh rhn |
| building | Verbundindex |
| bvnumber | BV042423048 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)879624463 (DE-599)BVBBV042423048 |
| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-85590-0 |
| format | Electronic eBook |
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| id | DE-604.BV042423048 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:12Z |
| institution | BVB |
| isbn | 9783642855900 9783642855924 |
| issn | 0072-7830 |
| language | English |
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| series2 | Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen |
| spelling | Nevanlinna, Rolf Herman 1895-1980 Verfasser (DE-588)119315939 aut Analytic Functions by Rolf Nevanlinna ; edited by B. Eckmann, B. L. Waerden Berlin, Heidelberg Springer Berlin Heidelberg 1970 1 Online-Ressource (VIII, 376 p) txt rdacontent c rdamedia cr rdacarrier Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen 162 0072-7830 The present monograph on analytic functions coincides to a large extent with the presentation of the modern theory of single-value analytic functions given in my earlier works "Le theoreme de Picarc Borel et la theorie des fonctions meromorphes" (Paris: Gauthier-Villar 1929) and "Eindeutige analytische Funktionen" (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, VoL 46, 1: edition Berlin: Springer 1936, 2nd edition Berlin-Gottingen-Heidelberg Springer 1953). In these presentations I have strived to make the individual result and their proofs readily understandable and to treat them in the ligh of certain guiding principles in a unified way. A decisive step in thi direction within the theory of entire and meromorphic functions consisted in replacing the classical representation of these functions through ca nonical products with more general tools from the potential theor (Green's formula and especially the Poisson-Jensen formula). On thi foundation it was possible to introduce the quantities (the characteristic the proximity and the counting functions) which are definitive for th Mathematics Functional analysis Functional Analysis Mathematik Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Eindeutige analytische Funktion (DE-588)4151247-9 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content Funktionentheorie (DE-588)4018935-1 s Analytische Funktion (DE-588)4142348-3 s 2\p DE-604 Eindeutige analytische Funktion (DE-588)4151247-9 s 3\p DE-604 Eckmann, Beno 1917-2008 Sonstige (DE-588)118834185 oth Waerden, Bartel L. van der 1903-1996 Sonstige (DE-588)119089181 oth https://doi.org/10.1007/978-3-642-85590-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Nevanlinna, Rolf Herman 1895-1980 Analytic Functions Mathematics Functional analysis Functional Analysis Mathematik Analytische Funktion (DE-588)4142348-3 gnd Eindeutige analytische Funktion (DE-588)4151247-9 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4142348-3 (DE-588)4151247-9 (DE-588)4018935-1 (DE-588)1071861417 |
| title | Analytic Functions |
| title_auth | Analytic Functions |
| title_exact_search | Analytic Functions |
| title_full | Analytic Functions by Rolf Nevanlinna ; edited by B. Eckmann, B. L. Waerden |
| title_fullStr | Analytic Functions by Rolf Nevanlinna ; edited by B. Eckmann, B. L. Waerden |
| title_full_unstemmed | Analytic Functions by Rolf Nevanlinna ; edited by B. Eckmann, B. L. Waerden |
| title_short | Analytic Functions |
| title_sort | analytic functions |
| topic | Mathematics Functional analysis Functional Analysis Mathematik Analytische Funktion (DE-588)4142348-3 gnd Eindeutige analytische Funktion (DE-588)4151247-9 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | Mathematics Functional analysis Functional Analysis Mathematik Analytische Funktion Eindeutige analytische Funktion Funktionentheorie Konferenzschrift |
| url | https://doi.org/10.1007/978-3-642-85590-0 |
| work_keys_str_mv | AT nevanlinnarolfherman analyticfunctions AT eckmannbeno analyticfunctions AT waerdenbartellvander analyticfunctions |