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Titlebook: Direct and Inverse Finite-Dimensional Spectral Problems on Graphs; Manfred M?ller,Vyacheslav Pivovarchik Book 2020 Springer Nature Switzer

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發(fā)表于 2025-3-21 16:09:19 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Direct and Inverse Finite-Dimensional Spectral Problems on Graphs
編輯Manfred M?ller,Vyacheslav Pivovarchik
視頻videohttp://file.papertrans.cn/281/280632/280632.mp4
概述Features comprehensively direct and inverse problems for graphs of strings.Appeals to both researchers in mathematics and practitioners in engineering.Presents the relation between classes of rational
叢書名稱Operator Theory: Advances and Applications
圖書封面Titlebook: Direct and Inverse Finite-Dimensional Spectral Problems on Graphs;  Manfred M?ller,Vyacheslav Pivovarchik Book 2020 Springer Nature Switzer
描述.Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known results. The interplay between the representation of rational functions and their zeros and poles is at the center of the methods used. The book also unravels connections between finite dimensional and infinite dimensional spectral problems on graphs, and between self-adjoint and non-self-adjoint finite-dimensional problems. ..This book is addressed to researchers in spectral theory of differential and difference equations as well as physicists and engineers who may apply the presented results and methods to their research.?.
出版日期Book 2020
關(guān)鍵詞Hermite-Biehler polynomials; Lagrange polynomials; Nevanlinna rational function; rational Stieltjes fu
版次1
doihttps://doi.org/10.1007/978-3-030-60484-4
isbn_softcover978-3-030-60486-8
isbn_ebook978-3-030-60484-4Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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發(fā)表于 2025-3-21 23:07:00 | 只看該作者
Book 2020 of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known re
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發(fā)表于 2025-3-22 02:04:50 | 只看該作者
Manfred M?ller,Vyacheslav PivovarchikFeatures comprehensively direct and inverse problems for graphs of strings.Appeals to both researchers in mathematics and practitioners in engineering.Presents the relation between classes of rational
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Stieltjes strings,An important role in the synthesis of electrical circuits is played by the `scalar impedance function‘ Z(λ) from which the impedance may be derived by writing λ= iω (see [28], [58], [33]), where ω is the cyclic frequency of a sine current.
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