书目名称 | Complex Analysis, Operators, and Related Topics | 副标题 | The S. A. Vinogradov | 编辑 | Victor P. Havin,Nikolai K. Nikolski | 视频video | http://file.papertrans.cn/232/231390/231390.mp4 | 丛书名称 | Operator Theory: Advances and Applications | 图书封面 |  | 描述 | .This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. It consists of 30 carefully selected surveys and research papers..The main subjects of the volume include:.· free interpolation by analytic functions in its development from the pathbreaking works by L. Carleson up to the most recent achievements and in its connections with the theory of singular integral operators and Carleson-type embedding theorems, moment problems etc..· Szökefalvi-Nagy-Foias model spaces studied from the point of view of holomorphic spaces.· holomorphic spaces (Hardy, Bergman, Hölder, and Sobolev spaces).· analytic functions smooth up to the boundary with their subtle properties related to the Nevanlinna-Smirnov factorization, division and multiplication, and zero sets.· a new approach to weighted inequalities for singular integrals based on the Bellman function in optimization theory;.· the uncertainty principle in harmonic analysis and, in particular, a complete version of Turan‘s lemma on trigonometric sums.· Hankel operators and stationary Gaussian processes.· Fourier multipliers, and spectral analysis of some differe | 出版日期 | Conference proceedings 2000 | 关键词 | Complex analysis; Nevanlinna theory; Operator theory; Singular integral; calculus; differential equation; | 版次 | 1 | doi | https://doi.org/10.1007/978-3-0348-8378-8 | isbn_softcover | 978-3-0348-9541-5 | isbn_ebook | 978-3-0348-8378-8Series ISSN 0255-0156 Series E-ISSN 2296-4878 | issn_series | 0255-0156 | copyright | Springer Basel AG 2000 |
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