Search Results - "KLOTZ, Andreas"
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1
Reduction of CPR artifacts in the ventricular fibrillation ECG by coherent line removal
Published in Biomedical engineering online (06-01-2010)“…Interruption of cardiopulmonary resuscitation (CPR) impairs the perfusion of the fibrillating heart, worsening the chance for successful defibrillation…”
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2
Inverse closed ultradifferential subalgebras
Published in Journal of mathematical analysis and applications (15-01-2014)“…In previous work we have shown that classical approximation theory provides methods for the systematic construction of inverse-closed smooth subalgebras. Now…”
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3
Spectral subspaces of Sturm-Liouville operators and variable bandwidth
Published in Journal of mathematical analysis and applications (15-07-2024)“…We study spectral subspaces of the Sturm-Liouville operator f↦−(pf′)′ on R, where p is a positive, piecewise constant function. Functions in these subspaces…”
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4
Phase Transitions in Rate Distortion Theory and Deep Learning
Published in Foundations of computational mathematics (01-02-2023)“…Rate distortion theory is concerned with optimally encoding signals from a given signal class S using a budget of R bits, as R → ∞ . We say that S can be…”
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5
The optimal dyadic derivative
Published in Analysis mathematica (Budapest) (01-12-2014)“…We show that the best approximation to the difference operators on the cyclic groups of order 2 n by a dyadic convolution operator are the restrictions of a…”
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6
Spectral invariance of Besov–Bessel subalgebras
Published in Journal of approximation theory (01-02-2012)“…Using principles of the theory of smoothness spaces, we give systematic constructions of scales of inverse-closed subalgebras of a given Banach algebra with…”
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7
What Is Variable Bandwidth?
Published in Communications on pure and applied mathematics (01-11-2017)“…We propose a new notion of variable bandwidth that is based on the spectral subspaces of an elliptic operator Apf=−ddx(p(x)ddx)f where p > 0 is a strictly…”
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Density of sampling and interpolation in reproducing kernel Hilbert spaces
Published in Journal of the London Mathematical Society (01-12-2017)“…We derive necessary density conditions for sampling and for interpolation in general reproducing kernel Hilbert spaces satisfying some natural conditions on…”
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Noncommutative Approximation: Inverse-Closed Subalgebras and Off-Diagonal Decay of Matrices
Published in Constructive approximation (01-01-2010)“…We investigate two systematic constructions of inverse-closed subalgebras of a given Banach algebra or operator algebra , both of which are inspired by…”
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10
Norm-controlled inversion in smooth Banach algebras, II
Published in Mathematische Nachrichten (01-06-2014)“…We show that smoothness implies norm‐controlled inversion: the smoothness of an element a in a Banach algebra with a one‐parameter automorphism group is…”
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11
Norm‐controlled inversion in smooth Banach algebras, I
Published in Journal of the London Mathematical Society (01-08-2013)“…Every differential subalgebra of a unital C*‐algebra is spectrally invariant. We derive a quantitative version of this well‐known fact and show that a minimal…”
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12
Experimental operation of a solar‐driven climate system with thermal energy storages using mixed‐integer nonlinear model predictive control
Published in Optimal control applications & methods (01-09-2021)“…This work presents the results of experimental operation of a solar‐driven climate system using mixed‐integer nonlinear model predictive control (MPC). The…”
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Density of sampling and interpolation in reproducing kernel Hilbert spaces: DENSITY IN REPRODUCING KERNEL HILBERT SPACES
Published in Journal of the London Mathematical Society (01-12-2017)Get full text
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14
Necessary Density Conditions for Sampling and Interpolation in Spectral Subspaces of Elliptic Differential Operators
Published 26-11-2021“…Analysis & PDE 17 (2024) 587-616 We prove necessary density conditions for sampling in spectral subspaces of a second order uniformly elliptic differential…”
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Strong corruption of electrocardiograms caused by cardiopulmonary resuscitation reduces efficiency of two-channel methods for removing motion artefacts in non-shockable rhythms
Published in Resuscitation (01-11-2009)“…Abstract Aim Cardiopulmonary resuscitation (CPR) artefact removal methods provide satisfactory results when the rhythm is shockable but fail on non-shockable…”
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16
Quantitative estimates: How well does the discrete Fourier transform approximate the Fourier transform on $\mathbb{R}
Published 06-03-2024“…In order to compute the Fourier transform of a function $f$ on the real line numerically, one samples $f$ on a grid and then takes the discrete Fourier…”
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Removal of CPR Artifacts From the Ventricular Fibrillation ECG by Adaptive Regression on Lagged Reference Signals
Published in IEEE transactions on biomedical engineering (01-01-2008)“…Removing cardiopulmonary resuscitation (CPR)-related artifacts from human ventricular fibrillation (VF) electrocardiogram (ECG) signals provides the…”
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18
Neutralization of human parvovirus B19 by plasma and intravenous immunoglobulins
Published in Transfusion (Philadelphia, Pa.) (01-01-2008)“…BACKGROUND: Human parvovirus B19 (B19V) is a highly prevalent pathogen, and plasma pools for manufacturing of plasma‐derived products have been shown to…”
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Spectral Subspaces of Sturm-Liouville Operators and Variable Bandwidth
Published 16-04-2023“…J. Math. Anal. Appl. 535 (2024), no. 2, Paper No. 128225, 30 pp We study spectral subspaces of the Sturm-Liouville operator $f \mapsto -(pf')'$ on…”
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20
Evolution of a participatory GIS
Published in Computers, environment and urban systems (01-11-2004)“…Participatory spatial planning and decision making requires a combination of software tools for group decision support, individual decision support and…”
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