Several Complex Variables V : Complex Analysis in Partial Differential Equations and Mathematical Physics PDF
Edited by G.M. Khenkin
Part of the Encyclopaedia of Mathematical Sciences series
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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 tech- niques 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 treat- ment.
Even though we shall frequently refer to recent results and the latest theories (such as algebmic analysis, or the theory of Bernstein-Sato polyno- mials), 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 gen- eralizations 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.
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- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:06/12/2012
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- ISBN:9783642580116
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-
Download Now
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:06/12/2012
- Category:
- ISBN:9783642580116