{"product_id":"9783642634338","title":"Encyclopaedia of Mathematical Sciences: Complex Analysis in Partial Differential Equations and Mathematical Physics","description":"\u003ch1\u003eEncyclopaedia of Mathematical Sciences: Complex Analysis in Partial Differential Equations and Mathematical Physics\u003c\/h1\u003e \u003ch2\u003eKhenkin, G.M.; Berenstein, C.A.; Khenkin, G.M.; Morozov, A.Yu.; Novikov, R.G.; Perelomov, A.M.; Struppa, D.C.\u003c\/h2\u003e \u003cp\u003eIn 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-11-05\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783642634338\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-58011-6\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 287\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":44398513127564,"sku":"9783642634338","price":89.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783642634338.jpg?v=1775706500","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783642634338","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}