Geodesic
New Sign Uncertainty Principles
Discrete analysis (2023) Cet article a éte moissonné depuis la source Scholastica

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We prove new sign uncertainty principles which vastly generalize the recent developments of Bourgain, Clozel Kahane and Cohn Gonçalves, and apply our results to a variety of spaces and operators. In particular, we establish new sign uncertainty principles for Fourier and Dini series, the Hilbert transform, the discrete Fourier and Hankel transforms, spherical harmonics, and Jacobi polynomials, among others. We present numerical evidence highlighting the relationship between the discrete and continuous sign uncertainty principles for the Fourier and Hankel transforms, which in turn are connected with the sphere packing problem via linear programming. Finally, we explore some connections between the sign uncertainty principle on the sphere and spherical designs.
Publié le : 
@article{DAS_2023_a13,
     author = {Felipe Gon\c{c}alves and Diogo Oliveira e Silva and Jo\~ao P. G. Ramos},
     title = {New {Sign} {Uncertainty} {Principles}},
     journal = {Discrete analysis},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DAS_2023_a13/}
}
TY  - JOUR
AU  - Felipe Gonçalves
AU  - Diogo Oliveira e Silva
AU  - João P. G. Ramos
TI  - New Sign Uncertainty Principles
JO  - Discrete analysis
PY  - 2023
UR  - http://geodesic.mathdoc.fr/item/DAS_2023_a13/
LA  - en
ID  - DAS_2023_a13
ER  - 
%0 Journal Article
%A Felipe Gonçalves
%A Diogo Oliveira e Silva
%A João P. G. Ramos
%T New Sign Uncertainty Principles
%J Discrete analysis
%D 2023
%U http://geodesic.mathdoc.fr/item/DAS_2023_a13/
%G en
%F DAS_2023_a13
Felipe Gonçalves; Diogo Oliveira e Silva; João P. G. Ramos. New Sign Uncertainty Principles. Discrete analysis (2023). http://geodesic.mathdoc.fr/item/DAS_2023_a13/