Perturbed Fourier uniqueness and interpolation results in higher dimensions
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Publication:2123102
DOI10.1016/j.jfa.2022.109448zbMath1486.42001arXiv2103.12015OpenAlexW3136117170MaRDI QIDQ2123102
Martin Stoller, João Pedro Ramos
Publication date: 8 April 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.12015
Trigonometric interpolation (42A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Holomorphic modular forms of integral weight (11F11)
Related Items (5)
Fourier non-uniqueness sets from totally real number fields ⋮ Revisit on Heisenberg uniqueness pair for the hyperbola ⋮ From sphere packing to Fourier interpolation ⋮ On discrete Fourier uniqueness sets in Euclidean space ⋮ Uniqueness of solutions to nonlinear Schrödinger equations from their zeros
Cites Work
- Heisenberg uniqueness pairs and the Klein-Gordon equation
- Foundations of time-frequency analysis
- A note on discrete Heisenberg uniqueness pairs for the parabola
- Universal optimality of the \(E_8\) and Leech lattices and interpolation formulas
- Fourier uniqueness pairs of powers of integers
- Fourier interpolation on the real line
- Exact lower and upper bounds on the incomplete gamma function
- Fourier interpolation from spheres
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