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    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
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Several Complex Variables V: Complex Analysis in Partial Differential Equations and Mathematical Physics

Several Complex Variables V: Complex Analysis in Partial Differential Equations and Mathematical Physics

Berenstein, C. a.
Khenkin, G. M.
Khenkin, G. M.

Paperback

Series: Encyclopaedia of Mathematical Sciences, Book 54

CalculusGeneral MathematicsGeometry

ISBN10: 3642634338
ISBN13: 9783642634338
Publisher: Springer
Published: Nov 5 2012
Pages: 287
Weight: 0.93
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
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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