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Titlebook: Operator Theory, Analysis and Mathematical Physics; Jan Janas,Pavel Kurasov,Günter Stolz Conference proceedings 2007 Birkhäuser Basel 2007

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发表于 2025-3-21 19:39:33 | 显示全部楼层 |阅读模式
书目名称Operator Theory, Analysis and Mathematical Physics
编辑Jan Janas,Pavel Kurasov,Günter Stolz
视频video
概述Contains most recent research results at the border line of operator theory and mathematical physics.All contributions are original and have been reviewed by acknowledged experts.Includes supplementar
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Operator Theory, Analysis and Mathematical Physics;  Jan Janas,Pavel Kurasov,Günter Stolz Conference proceedings 2007 Birkhäuser Basel 2007
描述.This volume contains lectures delivered by the participants of the international conference "Operator Theory, Analysis and Mathematical Physics" (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland on July 6-11, 2004. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics. The main topics are functional models of non-selfadjoint operators, spectral properties of Dirac and Jacobi matrices, Dirichlet-to-Neumann techniques, Lyapunov exponents methods, and inverse spectral problems for quantum graphs... .
出版日期Conference proceedings 2007
关键词Dirichlet-to-Neumann map; Jacobi matrix; Lyapunov exponent; Operator theory; functional model; mathematic
版次1
doihttps://doi.org/10.1007/978-3-7643-8135-6
isbn_ebook978-3-7643-8135-6Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightBirkhäuser Basel 2007
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发表于 2025-3-21 20:53:13 | 显示全部楼层
Dirichlet-to-Neumann Techniques for the Plasma-waves in a Slot-diod,he slot. The reduction is based on a formula for the Poisson map for the exterior Laplace Dirichlet problem on the complement of a few standard bodies in terms of the Poisson maps on the complement of each standard body.
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An Example of Spectral Phase Transition Phenomenon in a Class of Jacobi Matrices with Periodically being pure point. The proof is based on finding asymptotics of generalized eigenvectors via the Birkhoff-Adams Theorem. We also consider the degenerate case, which constitutes yet another example of the spectral phase transition.
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Functional Model of a Class of Non-selfadjoint Extensions of Symmetric Operators,del for a non-selfadjoint non-dissipative extension is formulated. We illustrate the theory by two examples: singular perturbations of the Laplace operator in . .(ℝ.) by a finite number of point interactions, and the Schrödinger operator on the half-axis (0, ∞) in the Weyl limit circle case at infinity.
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On Connection Between Factorizations of Weighted Schur Functions and Invariant Subspaces,t subspaces of the main operator of a conservative system and factorizations of the corresponding Schur class function (characteristic function) is well known. We extend this connection to weighted Schur classes. With this aim we develop new notions and constructions and make suitable changes in standard theory.
发表于 2025-3-23 01:36:50 | 显示全部楼层
Conference proceedings 2007s to present interesting ramifications of operator methods in current research of mathematical physics. The main topics are functional models of non-selfadjoint operators, spectral properties of Dirac and Jacobi matrices, Dirichlet-to-Neumann techniques, Lyapunov exponents methods, and inverse spectral problems for quantum graphs... .
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