Spectral subspaces of Sturm-Liouville operators and variable bandwidth
DOI10.1016/j.jmaa.2024.128225arXiv2304.07811MaRDI QIDQ6152547
Karlheinz Gröchening, Andreas Klotz, Mark Jason Celiz
Publication date: 12 March 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.07811
samplingspectral theoryreproducing kernel Hilbert spacePaley-Wiener spaceSturm-Liouville theorydensity condition
Sturm-Liouville theory (34B24) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General theory of ordinary differential operators (47E05) Sampling theory in information and communication theory (94A20) Operator theory (47-XX)
Cites Work
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- Functions of variable bandwidth via time-frequency analysis tools
- Paley-Wiener subspace of vectors in a Hilbert space with applications to integral transforms
- Spectral theory of ordinary differential operators
- Paley-Wiener-type theorems for a class of integral transforms
- Function spaces obeying a time-varying bandlimit
- Reproducing kernels and variable bandwidth
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Necessary density conditions for sampling an interpolation of certain entire functions
- On the absolutely continuous spectrum of Sturm-Liouville operators with applications to radial quantum trees
- What Is Variable Bandwidth?
- Density of sampling and interpolation in reproducing kernel Hilbert spaces
- Sampling principle for continuous signals with time-varying bands
- Sampling of band-limited vectors
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