Differential Equations on Complex Manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1994
|
| Series: | Mathematics and Its Applications
276 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The present monograph is devoted to the complex theory of differential equations. Not yet a handbook, neither a simple collection of articles, the book is a first attempt to present a more or less detailed exposition of a young but promising branch of mathematics, that is, the complex theory of partial differential equations. Let us try to describe the framework of this theory. First, simple examples show that solutions of differential equations are, as a rule, ramifying analytic functions. and, hence, are not regular near points of their ramification. Second, bearing in mind these important properties of solutions, we shall try to describe the method solving our problem. Surely, one has first to consider differential equations with constant coefficients. The apparatus solving such problems is well-known in the real the ory of differential equations: this is the Fourier transformation. Un fortunately, such a transformation had not yet been constructed for complex-analytic functions and the authors had to construct by them selves. This transformation is, of course, the key notion of the whole theory |
| Physical Description: | 1 Online-Ressource (XII, 508 p) |
| ISBN: | 9789401712590 9789048143689 |
| DOI: | 10.1007/978-94-017-1259-0 |
Staff View
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Record in the Search Index
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| id | DE-604.BV042424243 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401712590 9789048143689 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859660 |
| oclc_num | 1184489281 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 508 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer Netherlands |
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| series2 | Mathematics and Its Applications |
| spelling | Sternin, Boris Verfasser aut Differential Equations on Complex Manifolds by Boris Sternin, Victor Shatalov Dordrecht Springer Netherlands 1994 1 Online-Ressource (XII, 508 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 276 The present monograph is devoted to the complex theory of differential equations. Not yet a handbook, neither a simple collection of articles, the book is a first attempt to present a more or less detailed exposition of a young but promising branch of mathematics, that is, the complex theory of partial differential equations. Let us try to describe the framework of this theory. First, simple examples show that solutions of differential equations are, as a rule, ramifying analytic functions. and, hence, are not regular near points of their ramification. Second, bearing in mind these important properties of solutions, we shall try to describe the method solving our problem. Surely, one has first to consider differential equations with constant coefficients. The apparatus solving such problems is well-known in the real the ory of differential equations: this is the Fourier transformation. Un fortunately, such a transformation had not yet been constructed for complex-analytic functions and the authors had to construct by them selves. This transformation is, of course, the key notion of the whole theory Mathematics Integral Transforms Differential equations, partial Partial Differential Equations Several Complex Variables and Analytic Spaces Integral Transforms, Operational Calculus Mathematik Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Komplexe Mannigfaltigkeit (DE-588)4031996-9 s 1\p DE-604 Shatalov, Victor Sonstige oth https://doi.org/10.1007/978-94-017-1259-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sternin, Boris Differential Equations on Complex Manifolds Mathematics Integral Transforms Differential equations, partial Partial Differential Equations Several Complex Variables and Analytic Spaces Integral Transforms, Operational Calculus Mathematik Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4031996-9 (DE-588)4012249-9 |
| title | Differential Equations on Complex Manifolds |
| title_auth | Differential Equations on Complex Manifolds |
| title_exact_search | Differential Equations on Complex Manifolds |
| title_full | Differential Equations on Complex Manifolds by Boris Sternin, Victor Shatalov |
| title_fullStr | Differential Equations on Complex Manifolds by Boris Sternin, Victor Shatalov |
| title_full_unstemmed | Differential Equations on Complex Manifolds by Boris Sternin, Victor Shatalov |
| title_short | Differential Equations on Complex Manifolds |
| title_sort | differential equations on complex manifolds |
| topic | Mathematics Integral Transforms Differential equations, partial Partial Differential Equations Several Complex Variables and Analytic Spaces Integral Transforms, Operational Calculus Mathematik Komplexe Mannigfaltigkeit (DE-588)4031996-9 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Mathematics Integral Transforms Differential equations, partial Partial Differential Equations Several Complex Variables and Analytic Spaces Integral Transforms, Operational Calculus Mathematik Komplexe Mannigfaltigkeit Differentialgleichung |
| url | https://doi.org/10.1007/978-94-017-1259-0 |
| work_keys_str_mv | AT sterninboris differentialequationsoncomplexmanifolds AT shatalovvictor differentialequationsoncomplexmanifolds |