Analytic elements in p-adic analysis:
This is probably the first book dedicated to this topic. The behaviour of the analytic elements on an infraconnected set D in K an algebraically closed complete ultrametric field is mainly explained by the circular filters and the monotonous filters on D, especially the T-filters: zeros of the eleme...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c1995
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | This is probably the first book dedicated to this topic. The behaviour of the analytic elements on an infraconnected set D in K an algebraically closed complete ultrametric field is mainly explained by the circular filters and the monotonous filters on D, especially the T-filters: zeros of the elements, Mittag-Leffler series, factorization, Motzkin factorization, maximum principle, injectivity, algebraic properties of the algebra of the analytic elements on D, problems of analytic extension, factorization into meromorphic products and connections with Mittag-Leffler series. This is applied to the differential equation y'=hy (y,h analytic elements on D), analytic interpolation, injectivity, and to the p-adic Fourier transform |
| Physical Description: | x, 390 p |
| ISBN: | 9789812831019 |
Staff View
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| id | DE-604.BV044636850 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:50Z |
| institution | BVB |
| isbn | 9789812831019 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034823 |
| oclc_num | 1012735004 |
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| physical | x, 390 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Escassut, Alain Verfasser aut Analytic elements in p-adic analysis Alain Escassut Singapore World Scientific Pub. Co. c1995 x, 390 p txt rdacontent c rdamedia cr rdacarrier This is probably the first book dedicated to this topic. The behaviour of the analytic elements on an infraconnected set D in K an algebraically closed complete ultrametric field is mainly explained by the circular filters and the monotonous filters on D, especially the T-filters: zeros of the elements, Mittag-Leffler series, factorization, Motzkin factorization, maximum principle, injectivity, algebraic properties of the algebra of the analytic elements on D, problems of analytic extension, factorization into meromorphic products and connections with Mittag-Leffler series. This is applied to the differential equation y'=hy (y,h analytic elements on D), analytic interpolation, injectivity, and to the p-adic Fourier transform p-adic analysis p-adische Analysis (DE-588)4252360-6 gnd rswk-swf p-adische Analysis (DE-588)4252360-6 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810222345 Erscheint auch als Druck-Ausgabe 9810222343 http://www.worldscientific.com/worldscibooks/10.1142/2724#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Escassut, Alain Analytic elements in p-adic analysis p-adic analysis p-adische Analysis (DE-588)4252360-6 gnd |
| subject_GND | (DE-588)4252360-6 |
| title | Analytic elements in p-adic analysis |
| title_auth | Analytic elements in p-adic analysis |
| title_exact_search | Analytic elements in p-adic analysis |
| title_full | Analytic elements in p-adic analysis Alain Escassut |
| title_fullStr | Analytic elements in p-adic analysis Alain Escassut |
| title_full_unstemmed | Analytic elements in p-adic analysis Alain Escassut |
| title_short | Analytic elements in p-adic analysis |
| title_sort | analytic elements in p adic analysis |
| topic | p-adic analysis p-adische Analysis (DE-588)4252360-6 gnd |
| topic_facet | p-adic analysis p-adische Analysis |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2724#t=toc |
| work_keys_str_mv | AT escassutalain analyticelementsinpadicanalysis |