Results 21 to 30 of about 342,447 (287)
Inverse Spectral Problems for Schrödinger Operators [PDF]
Communications in Mathematical Physics, 2009 In this article we improve some of the inverse spectral results proved by Guillemin and Uribe in \cite{GU}. They proved that under some symmetry assumptions on the potential $V(x)$, the Taylor expansion of $V(x)$ near a non-degenerate global minimum can be recovered from the knowledge of the low-lying eigenvalues of the associated Schr dinger operator
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Frontiers in Neuroscience, 2023 Oscillatory processes at all spatial scales and on all frequencies underpin brain function. Electrophysiological Source Imaging (ESI) is the data-driven brain imaging modality that provides the inverse solutions to the source processes of the EEG, MEG ...
Deirel Paz-Linares +23 more
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The Inverse Spectral Problem for Jacobi-Type Pencils [PDF]
, 2017 In this paper we study the inverse spectral problem for Jacobi-type pencils. By a Jacobi-type pencil we mean the following pencil $J_5 - \lambda J_3$, where $J_3$ is a Jacobi matrix and $J_5$ is a semi-infinite real symmetric five-diagonal matrix with ...
Zagorodnyuk, Sergey M.
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An Inverse Spectral Problem for Sturm – Liouville Operators with Singular Potentials on Graphs with a Cycle [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 This paper is devoted to the solution of inverse spectral problems for Sturm – Liouville operators with singular potentials from class W2−1 on graphs with a cycle.
Vasilev, Sergei V.
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Linear Algebra and its Applications, 1975 AbstractIn this article an infinite periodic Jacobi matrix is under consideration. It is shown that the spectrum of the matrix consists of a single finite interval if and only if the period of the matrix is equal to unity.
Cheung, Shiu Ming, Hochstadt, Harry
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Inverse spectral problem for singular AKNS operator on [0,1] [PDF]
, 2006 We consider an inverse spectral problem for a class of singular AKNS operators $H\_a, a\in\N$ with an explicit singularity. We construct for each $a\in\N$, a standard map $\lambda^a\times\kappa^a$ with spectral data $\lambda^a$ and some norming constant $
Serier, Frédéric
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Survey on the Inverse Spectral Problem [PDF]
Notices of the International Congress of Chinese Mathematicians, 2014 This is a survey of the inverse spectral problem on (mainly compact) Riemannian manifolds, with or without boundary. The emphasis is on wave invariants: on how wave invariants have been calculated and how they have been applied to concrete inverse spectral problems.
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Integrable models for shallow water with energy dependent spectral problems [PDF]
, 2012 We study the inverse problem for the so-called operators with energy depending potentials. In particular, we study spectral operators with quadratic dependance on the spectral parameter.
Ivanov, Rossen I., Lyons, Tony
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Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions
Mathematics, 2023 In this paper, for the first time, we study the inverse Sturm–Liouville problem with polynomials of the spectral parameter in the first boundary condition and with entire analytic functions in the second one.
Natalia P. Bondarenko, Egor E. Chitorkin
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A Numerical Method for Inverse Spectral Problems
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2015 На основе метода Галеркина разработан новый численный метод решения обратных спектральных задач, порожденных дискретными полуограниченными снизу операторами. В отличии от метода решения обратных спектральных задач, основанного на теории регуляризованных следов дискретных полуограниченными снизу операторов, в разработанном методе ослаблены ограничения ...
KADCHENKO S.I., ZAKIROVA G.A.
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