Hyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two / by Björn Gustafsson, Mihai Putinar
| データ種別 | 電子書籍 |
|---|---|
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2017 |
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| 書誌ID | OB01038948 |
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| 本文言語 | 英語 |
| 一般注記 | 1 Introduction -- 2 The exponential transform -- 3 Hilbert space factorization -- 4 Exponential orthogonal polynomials -- 5 Finite central truncations of linear operators -- 6 Mother bodies -- 7 Examples -- 8 Comparison with classical function spaces -- A Hyponormal operators -- Glossary -- Index -- References. License restrictions may limit access Summary: 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, approximation theory, mathematical physics |
| 著者標目 | *Gustafsson, Björn Putinar, Mihai SpringerLink (Online service) |
| 統一書名標目 | Lecture Notes in Mathematics, |
| 件 名 | LCSH:Mathematics LCSH:Functions of complex variables LCSH:Operator theory LCSH:Potential theory (Mathematics) LCSH:Numerical analysis FREE:Mathematics FREE:Functions of a Complex Variable FREE:Operator Theory FREE:Potential Theory FREE:Numerical Analysis |
| 分 類 | LCC:QA331-355 DC23:515.9 |
| 巻冊次 | ISBN:9783319658100 RefWorks出力（各巻） print ; ISBN:9783319658094 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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