Search Results - "Ukena, Riko"
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Spectral Approximation of Generalized Schrödinger Operators via Approximation of Subwords
Published in Complex analysis and operator theory (2024)“…We prove criteria, purely based on finite subwords of the potential, for spectral inclusion as well as Hausdorff approximation of pseudospectra or even spectra…”
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Half-line compressions and finite sections of discrete Schrödinger operators with integer-valued potentials
Published in Journal of mathematical analysis and applications (15-06-2023)“…We study 1D discrete Schrödinger operators H with integer-valued potential and show that, (i), invertibility (in fact, even just Fredholmness) of H always…”
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3
Half-line compressions and finite sections of discrete Schr\"odinger operators with integer-valued potentials
Published 08-08-2022“…We study 1D discrete Schr\"odinger operators $H$ with integer-valued potential and show that, $(i)$, invertibility (in fact, even just Fredholmness) of $H$…”
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4
Spectral approximation of generalized Schr\"odinger operators via approximation of subwords
Published 23-09-2022“…We demonstrate criteria, purely based on finite subwords of the potential, to guarantee spectral inclusion as well as Hausdorff approximation of pseudospectra…”
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5
Finite Sections of Periodic Schr\"odinger Operators
Published 18-10-2021“…We study discrete Schr\"odinger operators $H$ with periodic potentials as they are typically used to approximate aperiodic Schr\"odinger operators like the…”
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6
Finite section method for aperiodic Schr\"odinger operators
Published 01-04-2021“…We consider 1D discrete Schr\"odinger operators with aperiodic potentials given by a Sturmian word, which is a natural generalisation of the Fibonacci…”
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