Geodesic
On reconstructive sets of vertices in the Boolean cube
Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 1, pp. 3-16

Voir la notice de l'article provenant de la source Math-Net.Ru

The notion of a reconstructive set of the Boolean cube is introduced in terms of Fourier transform. The characterization of linear reconstructive sets is obtained. Necessary and sufficient conditions of the reconstructivity of a sphere are established. Sufficient conditions of the reconstructivity of two concentric spheres are found. Bibliogr. 9.
Mots-clés : Fourier transform, reconstructive set, Krawtchouk polynomial
Keywords: linear subspace, Johnson scheme. 
@article{DA_2012_19_1_a0,
     author = {A. Yu. Vasil'eva},
     title = {On reconstructive sets of vertices in the {Boolean} cube},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {3--16},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2012_19_1_a0/}
}
TY  - JOUR
AU  - A. Yu. Vasil'eva
TI  - On reconstructive sets of vertices in the Boolean cube
JO  - Diskretnyj analiz i issledovanie operacij
PY  - 2012
SP  - 3
EP  - 16
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DA_2012_19_1_a0/
LA  - ru
ID  - DA_2012_19_1_a0
ER  - 
%0 Journal Article
%A A. Yu. Vasil'eva
%T On reconstructive sets of vertices in the Boolean cube
%J Diskretnyj analiz i issledovanie operacij
%D 2012
%P 3-16
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DA_2012_19_1_a0/
%G ru
%F DA_2012_19_1_a0
A. Yu. Vasil'eva. On reconstructive sets of vertices in the Boolean cube. Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 1, pp. 3-16. http://geodesic.mathdoc.fr/item/DA_2012_19_1_a0/