Geodesic
Translates of Functions on the Heisenberg Group and the HRT Conjecture
Canadian mathematical bulletin, Tome 63 (2020) no. 4, pp. 871-881

Voir la notice de l'article provenant de la source Cambridge

DOI

We prove that the HRT (Heil, Ramanathan, and Topiwala) Conjecture is equivalent to the conjecture that co-central translates of square-integrable functions on the Heisenberg group are linearly independent.
DOI : 10.4153/S0008439520000107
Mots-clés : Heisenberg group, HRT conjecture, Gabor system, time-frequency system 
Currey, B.; Oussa, V. Translates of Functions on the Heisenberg Group and the HRT Conjecture. Canadian mathematical bulletin, Tome 63 (2020) no. 4, pp. 871-881. doi: 10.4153/S0008439520000107
@article{10_4153_S0008439520000107,
     author = {Currey, B. and Oussa, V.},
     title = {Translates of {Functions} on the {Heisenberg} {Group} and the {HRT} {Conjecture}},
     journal = {Canadian mathematical bulletin},
     pages = {871--881},
     year = {2020},
     volume = {63},
     number = {4},
     doi = {10.4153/S0008439520000107},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000107/}
}
TY  - JOUR
AU  - Currey, B.
AU  - Oussa, V.
TI  - Translates of Functions on the Heisenberg Group and the HRT Conjecture
JO  - Canadian mathematical bulletin
PY  - 2020
SP  - 871
EP  - 881
VL  - 63
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000107/
DO  - 10.4153/S0008439520000107
ID  - 10_4153_S0008439520000107
ER  - 
%0 Journal Article
%A Currey, B.
%A Oussa, V.
%T Translates of Functions on the Heisenberg Group and the HRT Conjecture
%J Canadian mathematical bulletin
%D 2020
%P 871-881
%V 63
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000107/
%R 10.4153/S0008439520000107
%F 10_4153_S0008439520000107

Cité par Sources :