Search Results - "Seelmann, Albrecht"
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The Laplacian on Cartesian products with mixed boundary conditions
Published in Archiv der Mathematik (01-07-2021)“…A definition of the Laplacian on Cartesian products with mixed boundary conditions using quadratic forms is proposed. Its consistency with the standard…”
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On a Minimax Principle in Spectral Gaps
Published in Complex analysis and operator theory (01-04-2022)“…The minimax principle for eigenvalues in gaps of the essential spectrum in the form presented by Griesemer et al. (Doc Math 4:275–283, 1999) is adapted to…”
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Notes on the subspace perturbation problem for off-diagonal perturbations
Published in Proceedings of the American Mathematical Society (01-09-2016)“…The variation of spectral subspaces for linear self-adjoint operators under an additive bounded off-diagonal perturbation is studied. To this end, the…”
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Uncertainty principles with error term in Gelfand–Shilov spaces
Published in Archiv der Mathematik (01-10-2022)“…In this note, an alternative approach to establish observability for semigroups based on their smoothing properties is presented. The results discussed here…”
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A unified observability result for non-autonomous observation problems
Published in Archiv der Mathematik (01-02-2024)“…A final-state observability result in the Banach space setting for non-autonomous observation problems is obtained that covers and extends all previously known…”
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Band Edge Localization Beyond Regular Floquet Eigenvalues
Published in Annales Henri Poincaré (01-07-2020)“…We prove that localization near band edges of multi-dimensional ergodic random Schrödinger operators with periodic background potential in L 2 ( R d ) is…”
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The Reflection Principle in the Control Problem of the Heat Equation
Published in Journal of dynamical and control systems (01-07-2022)“…We consider the control problem for the generalized heat equation for a Schrödinger operator on a domain with a reflection symmetry with respect to a…”
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Exhaustion approximation for the control problem of the heat or Schrödinger semigroup on unbounded domains
Published in Archiv der Mathematik (01-08-2020)“…We consider the control problem of the heat equation on bounded and unbounded domains, and more generally the corresponding inhomogeneous equation for the…”
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Uncertainty Principle for Hermite Functions and Null-Controllability with Sensor Sets of Decaying Density
Published in The Journal of fourier analysis and applications (01-02-2023)“…We establish a family of uncertainty principles for finite linear combinations of Hermite functions. More precisely, we give a geometric criterion on a subset…”
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An abstract Logvinenko-Sereda type theorem for spectral subspaces
Published in Journal of mathematical analysis and applications (01-08-2021)“…We provide an abstract framework for a Logvinenko-Sereda type theorem, where the classical compactness assumption on the support of the Fourier transform is…”
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Notes on the $${\sin 2 \Theta}$$ sin 2 Θ Theorem
Published in Integral equations and operator theory (01-08-2014)Get full text
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On an estimate in the subspace perturbation problem
Published in Journal d'analyse mathématique (Jerusalem) (01-06-2018)“…The problem of variation of spectral subspaces for linear self-adjoint operators under an additive bounded perturbation is considered. The aim is to find the…”
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Quantitative spectral inequalities for the anisotropic Shubin operators and applications to null-controllability
Published in Comptes rendus. Mathématique (25-11-2024)Get full text
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Sturm-Liouville problems and global bounds by small control sets and applications to quantum graphs
Published in Journal of mathematical analysis and applications (01-07-2024)“…We develop a Logvinenko–Sereda theory for one-dimensional vector-valued self-adjoint operators. We thus deliver upper bounds on L2-norms of eigenfunctions –…”
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Quantitative unique continuation for spectral subspaces of Schrödinger operators with singular potentials
Published in Journal of Differential Equations (05-10-2023)“…Recent (scale-free) quantitative unique continuation estimates for spectral subspaces of Schrödinger operators are extended to allow singular potentials such…”
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Notes on the sin2Θ Theorem
Published in Integral equations and operator theory (2014)“…An analogue of the Davis-Kahan sin 2 Θ theorem from (SIAM J Numer Anal 7:1–46, 1970 ) is proved under a general spectral separation condition. This extends the…”
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On Invariant Graph Subspaces
Published in Integral equations and operator theory (01-07-2016)“…In this paper we discuss the problem of decomposition for unbounded 2 × 2 operator matrices by a pair of complementary invariant graph subspaces. Under mild…”
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Relative residual bounds for eigenvalues in gaps of the essential spectrum
Published 13-09-2023“…Oper. Matrices 18 (2024), 191--203 The relative distance between eigenvalues of the compression of a not necessarily semibounded self-adjoint operator to a…”
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On a minimax principle in spectral gaps
Published 31-07-2021“…Complex Anal. Oper. Theory 16 (2022), 29 The minimax principle for eigenvalues in gaps of the essential spectrum in the form presented by Griesemer, Lewis, and…”
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