Fourier non-uniqueness sets from totally real number fields

DOI10.4171/CMH/538zbMath1497.11259arXiv2108.11828OpenAlexW3193570490MaRDI QIDQ2165719

Martin Stoller, Danylo V. Radchenko

Publication date: 22 August 2022

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11828

zbMATH Keywords

Hecke groupsinverse differentSchwartz Fourier eigenfunctions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Modular and automorphic functions (11F03) Lattices and convex bodies (number-theoretic aspects) (11H06) Discrete subgroups of Lie groups (22E40) Holomorphic modular forms of integral weight (11F11) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

Fourier non-uniqueness sets from totally real number fields ⋮ From sphere packing to Fourier interpolation

Cites Work

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• Discreteness criterion for subgroups of products of SL(2)
• Smooth functions invariant under the action of a compact Lie group
• Universal optimality of the \(E_8\) and Leech lattices and interpolation formulas
• Perturbed Fourier uniqueness and interpolation results in higher dimensions
• Fourier non-uniqueness sets from totally real number fields
• Fourier interpolation on the real line
• Hecke L-Functions and the Distribution of Totally Positive Integers
• Fourier interpolation from spheres

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