Several Complex Variables V: Complex Analysis in Partial Differential Equations and Mathematical Physics
Saved in:
| Other Authors: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1993
|
| Series: | Encyclopaedia of Mathematical Sciences
54 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differential equations, and more generally, convolution equations. A common feature of the problem we shall consider is the fact that their solutions depend on techniques and ideas from complex analysis. One finds in this way a remarkable and fruitful interplay between mean-periodicity and complex analysis. This is exactly what this part will try to explore. It is probably appropriate to stress the classical flavor of all of our treatment. Even though we shall frequently refer to recent results and the latest theories (such as algebraic analysis, or the theory of Bernstein-Sato polynomials), it is important to observe that the roots of probably all the problems we discuss here are classical in spirit, since that is the approach we use. For instance, most of Chap. 2 is devoted to far-reaching generalizations of a result dating back to Euler, and it is soon discovered that the key tool for such generalizations was first introduced by Jacobi! As the reader will soon discover, similar arguments can be made for each of the subsequent chapters. Before we give a complete description of our work on a chapter-by-chapter basis, let us make a remark about the list of references. It is quite hard (maybe even impossible) to provide a complete list of references on such a vast topic |
| Physical Description: | 1 Online-Ressource (VII, 287 p) |
| ISBN: | 9783642580116 9783642634338 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-642-58011-6 |
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| isbn | 9783642580116 9783642634338 |
| issn | 0938-0396 |
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| spelling | Several Complex Variables V Complex Analysis in Partial Differential Equations and Mathematical Physics edited by G. M. Khenkin Berlin, Heidelberg Springer Berlin Heidelberg 1993 1 Online-Ressource (VII, 287 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences 54 0938-0396 In this part, we present a survey of mean-periodicity phenomena which arise in connection with classical questions in complex analysis, partial differential equations, and more generally, convolution equations. A common feature of the problem we shall consider is the fact that their solutions depend on techniques and ideas from complex analysis. One finds in this way a remarkable and fruitful interplay between mean-periodicity and complex analysis. This is exactly what this part will try to explore. It is probably appropriate to stress the classical flavor of all of our treatment. Even though we shall frequently refer to recent results and the latest theories (such as algebraic analysis, or the theory of Bernstein-Sato polynomials), it is important to observe that the roots of probably all the problems we discuss here are classical in spirit, since that is the approach we use. For instance, most of Chap. 2 is devoted to far-reaching generalizations of a result dating back to Euler, and it is soon discovered that the key tool for such generalizations was first introduced by Jacobi! As the reader will soon discover, similar arguments can be made for each of the subsequent chapters. Before we give a complete description of our work on a chapter-by-chapter basis, let us make a remark about the list of references. It is quite hard (maybe even impossible) to provide a complete list of references on such a vast topic Mathematics Global analysis (Mathematics) Global differential geometry Analysis Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Chenkin, Gennadij M. 1942- (DE-588)170945626 edt Encyclopaedia of Mathematical Sciences 54 (DE-604)BV024126459 54 https://doi.org/10.1007/978-3-642-58011-6 Verlag Volltext |
| spellingShingle | Several Complex Variables V Complex Analysis in Partial Differential Equations and Mathematical Physics Encyclopaedia of Mathematical Sciences Mathematics Global analysis (Mathematics) Global differential geometry Analysis Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik |
| title | Several Complex Variables V Complex Analysis in Partial Differential Equations and Mathematical Physics |
| title_auth | Several Complex Variables V Complex Analysis in Partial Differential Equations and Mathematical Physics |
| title_exact_search | Several Complex Variables V Complex Analysis in Partial Differential Equations and Mathematical Physics |
| title_full | Several Complex Variables V Complex Analysis in Partial Differential Equations and Mathematical Physics edited by G. M. Khenkin |
| title_fullStr | Several Complex Variables V Complex Analysis in Partial Differential Equations and Mathematical Physics edited by G. M. Khenkin |
| title_full_unstemmed | Several Complex Variables V Complex Analysis in Partial Differential Equations and Mathematical Physics edited by G. M. Khenkin |
| title_short | Several Complex Variables V |
| title_sort | several complex variables v complex analysis in partial differential equations and mathematical physics |
| title_sub | Complex Analysis in Partial Differential Equations and Mathematical Physics |
| topic | Mathematics Global analysis (Mathematics) Global differential geometry Analysis Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Global differential geometry Analysis Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik |
| url | https://doi.org/10.1007/978-3-642-58011-6 |
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