Results 51 to 60 of about 652,963 (179)
Diophantine tori and non-selfadjoint inverse spectral problems [PDF]
Mathematical Research Letters, 2013 We study a semiclassical inverse spectral problem based on a spectral asymptotics result of arXiv:math/0502032, which applies to small non-selfadjoint perturbations of selfadjoint $h$-pseudodifferential operators in dimension 2. The eigenvalues in a suitable complex window have an expansion in terms of a quantum Birkhoff normal form for the operator ...
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Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings [PDF]
, 2013 We solve two inverse spectral problems for star graphs of Stieltjes strings with Dirichlet and Neumann boundary conditions, respectively, at a selected vertex called root.
V. Pivovarchik, N. Rozhenko, C. Tretter
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Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints
, 2015 Part I of this paper deals with two-dimensional canonical systems $y'(x)=yJH(x)y(x)$, $x\in(a,b)$, whose Hamiltonian $H$ is non-negative and locally integrable, and where Weyl's limit point case takes place at both endpoints $a$ and $b$. We investigate a
Langer, Matthias, Woracek, Harald
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Inverse nodal and inverse spectral problems for discontinuous boundary value problems
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shieh, Chung-tsun, Yurko, V. A.
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An inverse spectral problem for a star graph of Krein strings [PDF]
, 2013 We solve an inverse spectral problem for a star graph of Krein strings, where the known spectral data comprises the spectrum associated with the whole graph, the spectra associated with the individual edges as well as so-called coupling matrices.
J. Eckhardt
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Asymptotic inverse spectral problem for anharmonic oscillators
Communications in Mathematical Physics, 1987 The paper studies the direct and inverse spectral problem for perturbations \(L=A+B\) of the harmonic oscillator \(A=()(-\partial^ 2+x^ 2)\) on \({\mathbb{R}}\), where potential B(x) has a prescribed asymptotics at \(\{\infty \}\), \(B(x)\sim | x|^{-\alpha}V(x)\), with a trigonometric function \(V(x)=\sum a_ m \cos \omega_ mx.\) The k-th eigenvalue of ...
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Inverse spectral problems for Bessel operators
Journal of Differential Equations, 2007 Necessary and sufficient conditions are given for the solvability of the inverse spectral problem for a class of Bessel differential operators on a finite interval.
Albeverio, S., Hryniv, R., Mykytyuk, Ya.
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Inverse spectral problems in riemannian geometry [PDF]
, 2008 Over twenty years ago, Marc Kac posed what is arguably one of the simplest inverse problems in pure mathematics: "Can one hear the shape of a drum?" [19]. Mathematically, the question is formulated as follows. Let /2 be a simply connected, plane domain (the drumhead) bounded by a smooth curve 7, and consider the wave equation on /2 with Dirichlet ...
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Spectral calibration of exponential Lévy Models [1] [PDF]
We investigate the problem of calibrating an exponential Lévy model based on market prices of vanilla options. We show that this inverse problem is in general severely ill-posed and we derive exact minimax rates of convergence.
Denis Belomestny, Markus Reiß
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On a new inverse spectral problem
, 1998 AmSTeX, version 2.1, 8 pages, amsppt ...
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