P-adic analytic functions:
Ultrametric fields -- Analytic elements and analytic functions -- Meromorphic functions and Nevanlinna theory.
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2021]
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Review |
| Summary: | Ultrametric fields -- Analytic elements and analytic functions -- Meromorphic functions and Nevanlinna theory. "P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. Various properties of p-adic exponential-polynomials are examined, such as the Hermite Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of a closed disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions - in the whole field or inside an open disk - is a Bezout ring is also examined"-- |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | viii, 340 Seiten |
| ISBN: | 9789811226212 |
Staff View
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| 100 | 1 | |a Escassut, Alain |e Verfasser |0 (DE-588)114557730X |4 aut | |
| 245 | 1 | 0 | |a P-adic analytic functions |c Alain Escassut (Université Blaise Pascal, France) |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2021] | |
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| 500 | |a Includes bibliographical references and index | ||
| 520 | 3 | |a Ultrametric fields -- Analytic elements and analytic functions -- Meromorphic functions and Nevanlinna theory. | |
| 520 | 3 | |a "P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. Various properties of p-adic exponential-polynomials are examined, such as the Hermite Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of a closed disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions - in the whole field or inside an open disk - is a Bezout ring is also examined"-- | |
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Record in the Search Index
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| author | Escassut, Alain |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| id | DE-604.BV049311348 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T22:41:01Z |
| indexdate | 2024-07-10T10:01:13Z |
| institution | BVB |
| isbn | 9789811226212 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034572457 |
| oclc_num | 1237705652 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM |
| owner_facet | DE-91G DE-BY-TUM |
| physical | viii, 340 Seiten |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Escassut, Alain Verfasser (DE-588)114557730X aut P-adic analytic functions Alain Escassut (Université Blaise Pascal, France) New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2021] viii, 340 Seiten txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Ultrametric fields -- Analytic elements and analytic functions -- Meromorphic functions and Nevanlinna theory. "P-adic Analytic Functions describes the definition and properties of p-adic analytic and meromorphic functions in a complete algebraically closed ultrametric field. Various properties of p-adic exponential-polynomials are examined, such as the Hermite Lindemann theorem in a p-adic field, with a new proof. The order and type of growth for analytic functions are studied, in the whole field and inside an open disk. P-adic meromorphic functions are studied, not only on the whole field but also in an open disk and on the complemental of a closed disk, using Motzkin meromorphic products. Finally, the p-adic Nevanlinna theory is widely explained, with various applications. Small functions are introduced with results of uniqueness for meromorphic functions. The question of whether the ring of analytic functions - in the whole field or inside an open disk - is a Bezout ring is also examined"-- p-adische Analysis (DE-588)4252360-6 gnd rswk-swf p-adic analysis Analytic functions Nevanlinna theory p-adische Analysis (DE-588)4252360-6 s DE-604 Erscheint auch als Online-Ausgabe, ebook for institutions 978-981-122-622-9 Erscheint auch als Online-Ausgabe, ebook for individuals 978-981-122-623-6 B:DE-89 V:DE-601 pdf/application https://www.gbv.de/dms/tib-ub-hannover/1738973816.pdf Inhaltsverzeichnis https://www.zbmath.org/?q=an%3A7343763 zbMATH Review |
| spellingShingle | Escassut, Alain P-adic analytic functions p-adische Analysis (DE-588)4252360-6 gnd |
| subject_GND | (DE-588)4252360-6 |
| title | P-adic analytic functions |
| title_auth | P-adic analytic functions |
| title_exact_search | P-adic analytic functions |
| title_exact_search_txtP | P-adic analytic functions |
| title_full | P-adic analytic functions Alain Escassut (Université Blaise Pascal, France) |
| title_fullStr | P-adic analytic functions Alain Escassut (Université Blaise Pascal, France) |
| title_full_unstemmed | P-adic analytic functions Alain Escassut (Université Blaise Pascal, France) |
| title_short | P-adic analytic functions |
| title_sort | p adic analytic functions |
| topic | p-adische Analysis (DE-588)4252360-6 gnd |
| topic_facet | p-adische Analysis |
| url | https://www.gbv.de/dms/tib-ub-hannover/1738973816.pdf https://www.zbmath.org/?q=an%3A7343763 |
| work_keys_str_mv | AT escassutalain padicanalyticfunctions |