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

版	1st ed. 1993.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1993
本文言語	英語
大きさ	VII, 287 p : online resource
冊子体	Complex analysis in partial differential equations and mathematical physics / G.M. Khenkin (ed.) ; : gw,: us,: softcover
著者標目	Khenkin, G.M editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Geometry, Differential LCSH:Mathematical physics FREE:Analysis FREE:Differential Geometry FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-3-642-58011-6

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