Exponential bases for partitions of intervals
DOI10.1016/j.acha.2023.101607arXiv2109.04441OpenAlexW3198309522MaRDI QIDQ6144896
Shauna Revay, David F. Walnut, Götz E. Pfander
Publication date: 30 January 2024
Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.04441
bandlimited functionsexponential systemsbasis extractionRiesz bases of exponentialsAvdonin 1/4-theoremAvdonin mapsBeatty-Frankel sequencespartitions of intervalssampling of bandlimited functionsWeyl-Khinchin equidistribution theorem
Partitions of sets (05A18) Combinatorial aspects of partitions of integers (05A17) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Elementary theory of partitions (11P81) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Combining Riesz bases in \(\mathbb{R}^d\)
- The sampling theorem for functions with limited multi-band spectrum. I
- A variant of compressed sensing
- Solutions to deconvolution equations using nonperiodic sampling
- Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets
- Nonperiodic sampling of bandlimited functions on unions of rectangular lattices.
- Complete interpolating sequences for Fourier transforms supported by convex symmetric pol\-y\-gons
- Sampling of bandlimited functions on unions of shifted lattices
- Improved bounds in Weaver and Feichtinger conjectures
- On Gröchenig, Heil, and Walnut's proof of the local three squares theorem
- Nonperiodic sampling and the local three squares theorem
- Riesz bases of exponentials for convex polytopes with symmetric faces
- The Fuglede conjecture for convex domains is true in all dimensions
- A note on exponential Riesz bases
- Multi-tiling and Riesz bases
- Combining Riesz bases
- Necessary density conditions for sampling an interpolation of certain entire functions
- On the closure of characters and the zeros of entire functions
- Bases of complex exponentials with restricted supports
- Spanning and independence properties of frame partitions
- A Generalized Sampling Theorem for Locally Compact Abelian Groups
- Riesz bases of exponentials on unbounded multi-tiles
- A simple construction of exponential bases in L2 of the union of several intervals
- Sampling and interpolation for a lacunary spectrum
- The Bracket Function and Complementary Sets of Integers
- Exact Interpolation of Band-Limited Functions
- Riesz bases of exponentials and the Bohr topology
- An introduction to frames and Riesz bases
This page was built for publication: Exponential bases for partitions of intervals
