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Titlebook: Inverse Spectral and Scattering Theory; An Introduction Hiroshi Isozaki Book 2020 The Author(s), under exclusive licence to Springer Nature

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發(fā)表于 2025-3-21 19:48:56 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Inverse Spectral and Scattering Theory
副標(biāo)題An Introduction
編輯Hiroshi Isozaki
視頻videohttp://file.papertrans.cn/475/474710/474710.mp4
概述Is the first book on multi-dimensional spectral theory and inverse scattering on non-compact manifolds.Serves as a comprehensive introductory guide to PDEs, with minimal preparatory knowledge of mathe
叢書(shū)名稱SpringerBriefs in Mathematical Physics
圖書(shū)封面Titlebook: Inverse Spectral and Scattering Theory; An Introduction Hiroshi Isozaki Book 2020 The Author(s), under exclusive licence to Springer Nature
描述The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. The characteristic properties of the operators in question are often reduced to those of Schr?dinger operators. We start from the 1-dimensional theory to observe the main features of inverse spectral problems and then proceed to multi-dimensions. The first milestone is the Borg–Levinson theorem in the inverse Dirichlet problem in a bounded domain elucidating basic motivation of the inverse problem as well as the difference between 1-dimension and multi-dimension. The main theme is the inverse scattering, in which the spectral data is Heisenberg’s S-matrix defined through the observation of the asymptotic behavior at infinity of solutions. Significant progress has been made in the past 30 years by using the Faddeev–Green function or the complex geometrical optics solution by Sylvester and Uhlmann, which made it possible to reconstruct the potential from the S-ma
出版日期Book 2020
關(guān)鍵詞Inverse spectral problem; Inverse scattering; Faddeev’s Green function; complex geometrical optics solu
版次1
doihttps://doi.org/10.1007/978-981-15-8199-1
isbn_softcover978-981-15-8198-4
isbn_ebook978-981-15-8199-1Series ISSN 2197-1757 Series E-ISSN 2197-1765
issn_series 2197-1757
copyrightThe Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2020
The information of publication is updating

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發(fā)表于 2025-3-21 22:25:09 | 只看該作者
Hiroshi Isozakistem. The approach outlined in Chap. . is utilised to quantify typical platoon trajectories and manoeuvres in highway settings as well as in urban intersection scenarios. The addressed studies do not yield a single result, but instead depend on many parameters (such as platoon spacing/gap policy, su
板凳
發(fā)表于 2025-3-22 00:59:14 | 只看該作者
Hiroshi Isozaki European road transport is part of a wider ecosystem where significantly increasing levels of digitalisation, automation and innovation will re-shape the world as we have known it. Ambitious political agendas to enhance sustainability and to increase transport effectiveness beyond what can be achie
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發(fā)表于 2025-3-22 12:10:16 | 只看該作者
Hiroshi Isozakiated to high expectations in both individual and public transport. However, the complexity of automated driving requires methods beyond the traditional development approaches. This chapter describes a state-of-the-art methodology to organise and systematically address a comprehensive set of research
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發(fā)表于 2025-3-22 15:05:13 | 只看該作者
Hiroshi Isozaki promise wide application, from research into the kinetics and atomic mechanisms of crystal growth to studies of semiconductor interfaces and monolayer magnetism. Ideally, such a method should be capable of identifying atomic species, should provide real-time atomic resolution imaging over a wide ra
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發(fā)表于 2025-3-22 20:57:12 | 只看該作者
promise wide application, from research into the kinetics and atomic mechanisms of crystal growth to studies of semiconductor interfaces and monolayer magnetism. Ideally, such a method should be capable of identifying atomic species, should provide real-time atomic resolution imaging over a wide ra
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發(fā)表于 2025-3-22 22:42:40 | 只看該作者
One-Dimensional Inverse Problems,studied by Sturm and Liouville. After a long series of special functions introduced in the eighteenth and nineteenth centuries, Weyl gave a unified theory providing a complete proof of the general expansion theorem, which covers both of the cases of discrete and continuous spectrum. It was the dawn
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