<電子ブック>
Hyponormal Quantization of Planar Domains : Exponential Transform in Dimension Two / by Björn Gustafsson, Mihai Putinar
(Lecture Notes in Mathematics. ISSN:16179692 ; 2199)
版 | 1st ed. 2017. |
---|---|
出版者 | (Cham : Springer International Publishing : Imprint: Springer) |
出版年 | 2017 |
本文言語 | 英語 |
大きさ | X, 150 p. 16 illus. in color : online resource |
著者標目 | *Gustafsson, Björn author Putinar, Mihai author SpringerLink (Online service) |
件 名 | LCSH:Functions of complex variables LCSH:Operator theory LCSH:Potential theory (Mathematics) LCSH:Numerical analysis FREE:Functions of a Complex Variable FREE:Operator Theory FREE:Potential Theory FREE:Numerical Analysis |
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 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 HTTP:URL=https://doi.org/10.1007/978-3-319-65810-0 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9783319658100 |
|
電子リソース |
|
EB00236162 |
類似資料
この資料の利用統計
このページへのアクセス回数:2回
※2017年9月4日以降