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Titlebook: Hyponormal Quantization of Planar Domains; Exponential Transfor Bj?rn Gustafsson,Mihai Putinar Book 2017 Springer International Publishing

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發(fā)表于 2025-3-21 16:10:15 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Hyponormal Quantization of Planar Domains
副標(biāo)題Exponential Transfor
編輯Bj?rn Gustafsson,Mihai Putinar
視頻videohttp://file.papertrans.cn/431/430778/430778.mp4
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
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Hyponormal Quantization of Planar Domains; Exponential Transfor Bj?rn Gustafsson,Mihai Putinar Book 2017 Springer International Publishing
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
關(guān)鍵詞momentum problem; exponential transform; orthogonal polynomial; hyponormal operator; rational approximat
版次1
doihttps://doi.org/10.1007/978-3-319-65810-0
isbn_softcover978-3-319-65809-4
isbn_ebook978-3-319-65810-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG 2017
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沙發(fā)
發(fā)表于 2025-3-21 20:43:47 | 只看該作者
板凳
發(fā)表于 2025-3-22 01:53:16 | 只看該作者
https://doi.org/10.1007/978-3-322-86901-2to be discussed in these notes, the internal bisector segments in a triangle form its “mother body”. Disagreement starts with a sector of a disk, where the “bodies” (maternal, madonna type, or the one proposed below) are different. In the scenario outlined in these notes, a disjoint union of disks has their centers as a natural skeleton.
地板
發(fā)表于 2025-3-22 06:03:40 | 只看該作者
Wertsch?pfung durch Lieferantenintegration other. In one case we have complete results, with theoretical proofs, namely for the ellipse. Taking a standard ellipse with foci ± 1, the zeros go to the focal segment, with density proportional to ., ? 1 ≤ . ≤ 1, while the mother body for the ellipse with uniform mass distribution has density . on the same segment.
5#
發(fā)表于 2025-3-22 11:41:02 | 只看該作者
Introduction,to be discussed in these notes, the internal bisector segments in a triangle form its “mother body”. Disagreement starts with a sector of a disk, where the “bodies” (maternal, madonna type, or the one proposed below) are different. In the scenario outlined in these notes, a disjoint union of disks has their centers as a natural skeleton.
6#
發(fā)表于 2025-3-22 15:42:16 | 只看該作者
7#
發(fā)表于 2025-3-22 20:24:59 | 只看該作者
0075-8434 tion.A new class of complex polynomials orthogonal with resp.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 shap
8#
發(fā)表于 2025-3-22 23:51:25 | 只看該作者
https://doi.org/10.1007/978-3-658-18224-3x hull of the closure of the domain. In addition, we identify the zeros as also being eigenvalues of the appropriate Hessenberg matrices, and we elaborate this connection further in the case of quadrature domains.
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