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＜E-Book＞
Several Complex Variables V : Complex Analysis in Partial Differential Equations and Mathematical Physics / edited by G.M. Khenkin
(Encyclopaedia of Mathematical Sciences ; 54)

Edition	1st ed. 1993.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1993
Language	English
Size	VII, 287 p : online resource
Authors	Khenkin, G.M editor SpringerLink (Online service)
Subjects	LCSH:Mathematical analysis LCSH:Geometry, Differential LCSH:Mathematical physics FREE:Analysis FREE:Differential Geometry FREE:Theoretical, Mathematical and Computational Physics
Notes	I. Complex Analysis and Convolution Equations -- II. The Yang-Mills Fields, the Radon-Penrose Transform and the Cauchy-Riemann Equations -- III. Complex Geometry and String Theory -- Author Index 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 HTTP:URL=https://doi.org/10.1007/978-3-642-58011-6

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