On regularity and mass concentration phenomena for the sign uncertainty principle

DOI10.1007/s12220-020-00519-7zbMath1469.42015arXiv2003.10765OpenAlexW3104799065MaRDI QIDQ2048289

Felipe Gonçalves, Diogo Oliveira e Silva, João Pedro Ramos

Publication date: 5 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10765

zbMATH Keywords

Fourier transformSchwartz classmass concentrationbandlimited functionsign uncertainty principle

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Positive definite functions in one variable harmonic analysis (42A82) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items

Delsarte’s extremal problem and packing on locally compact Abelian groups ⋮ Generalized sign Fourier uncertainty ⋮ Perturbed interpolation formulae and applications

Cites Work

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• New upper bounds on sphere packings. I
• The Heisenberg principle and positive functions
• An optimal uncertainty principle in twelve dimensions via modular forms
• Fourier optimization and prime gaps
• The sphere packing problem in dimension 8
• The sphere packing problem in dimension \(24\)
• Hermite polynomials, linear flows on the torus, and an uncertainty principle for roots
• Nazarov's uncertainty principles in higher dimension
• Fonctions entières et intégrales de Fourier multiples. II
• Extremal Problems for Positive-Definite Bandlimited Functions. I. Eventually Positive Functions with Zero Integral
• Extremal Problems for Positive-Definite Bandlimited Functions. II. Eventually Negative Functions
• Some extremal functions in Fourier analysis
• Uncertainty Principles for Eventually Constant Sign Bandlimited Functions