书目名称 | Convolution Equations and Singular Integral Operators |
副标题 | Selected Papers |
编辑 | Leonid Lerer,Vadim Olshevsky,Ilya M. Spitkovsky |
视频video | |
概述 | The papers selected for this volume have never been translated into English.Closes a gap in the English literature on the subject.The material can be used for advanced courses and seminars in mathemat |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparati |
出版日期 | Book 2010 |
关键词 | Factor; Finite; Integral equation; Singular integral; Volume; algorithms; applied mathematics; commutative |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-7643-8956-7 |
isbn_ebook | 978-3-7643-8956-7Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Birkhäuser Basel 2010 |