书目名称 | Hyponormal Quantization of Planar Domains | 副标题 | Exponential Transfor | 编辑 | Björn Gustafsson,Mihai Putinar | 视频video | | 概述 | A self-contained exposition of the concept of "mother body" in potential theory.Intriguing numerical experiments lacking theoretical explanation.A new class of complex polynomials orthogonal with resp | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | .This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational approximants unveil a new class of complex orthogonal polynomials whose asymptotic distribution of zeros is thoroughly studied in the text. Connections with areas of potential theory, approximation theory in the complex domain and fluid mechanics are established...The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximationtheory, mathematical physics.. | 出版日期 | Book 2017 | 关键词 | momentum problem; exponential transform; orthogonal polynomial; hyponormal operator; rational approximat | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-65810-0 | isbn_softcover | 978-3-319-65809-4 | isbn_ebook | 978-3-319-65810-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer International Publishing AG 2017 |
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