Title :
Sampling and interpolation on certain nilpotent lie groups
Author :
Currey, Brad ; Mayeli, Azita ; Oussa, Vignon
Author_Institution :
Dept. of Math. & Comput. Sci., St. Louis Univ., St. Louis, MO, USA
Abstract :
Rank-one left-invariant subspaces of L2(G) that are sampling spaces and possess the interpolation property with respect to a class of discrete subsets of G are characterized for certain two-step nilpotent Lie groups G.
Keywords :
Lie groups; group theory; interpolation; sampling methods; set theory; discrete subsets; interpolation property; rank-one left-invariant subspaces; sampling spaces; two-step nilpotent Lie groups; Convolution; Electronic mail; Fourier transforms; Hafnium; Interpolation; Polynomials;
Conference_Titel :
Sampling Theory and Applications (SampTA), 2015 International Conference on
Conference_Location :
Washington, DC
DOI :
10.1109/SAMPTA.2015.7148853
