| 书目名称 | Hankel Operators and Their Applications | | 编辑 | Vladimir Peller | | 视频video | http://file.papertrans.cn/425/424035/424035.mp4 | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | The purpose of this book is to describe the theory of Hankel operators, one of the most important classes of operators on spaces of analytic func tions. Hankel operators can be defined as operators having infinite Hankel matrices (i. e. , matrices with entries depending only on the sum of the co ordinates) with respect to some orthonormal basis. Finite matrices with this property were introduced by Hankel, who found interesting algebraic properties of their determinants. One of the first results on infinite Han kel matrices was obtained by Kronecker, who characterized Hankel matri ces of finite rank as those whose entries are Taylor coefficients of rational functions. Since then Hankel operators (or matrices) have found numerous applications in classical problems of analysis, such as moment problems, orthogonal polynomials, etc. Hankel operators admit various useful realizations, such as operators on spaces of analytic functions, integral operators on function spaces on (0,00), operators on sequence spaces. In 1957 Nehari described the bounded Hankel operators on the sequence space £2. This description turned out to be very important and started the contemporary period of the s | | 出版日期 | Book 2003 | | 关键词 | approximation theory; functional analysis; operator; operator theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-21681-2 | | isbn_softcover | 978-1-4419-3050-7 | | isbn_ebook | 978-0-387-21681-2Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer Science+Business Media New York 2003 |
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