We study one-dimensional continuous-domain inverse problems with multiple generalized
total-variation regularization, which involves the joint use of several regularization operators.
Our starting point is a new representer theorem that states that such inverse problems have
hybrid-spline solutions with a total sparsity bounded by the number of measurements. We
show that such continuous-domain problems can be discretized in an exact way by using a
union of B-spline dictionary bases matched to the regularization operators. We then propose …

NOVEMBER 15, 2019 VOLUME 67 NUMBER 22 ITPRED (ISSN 1053-587X) Rate-Flexible
Fast Polar Decoders . . . . . . . . . . . . . . . . Page 1 NOVEMBER 15, 2019 VOLUME 67 NUMBER
22 ITPRED (ISSN 1053-587X) REGULAR PAPERS Rate-Flexible Fast Polar Decoders . . . . . . .
. . . . . . . . . . . . . . . . . . . . SA Hashemi, C. Condo, M. Mondelli, and WJ Gross 5689 Trajectory
PHD and CPHD Filters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .AF Garcıa-Fernández and
L. Svensson 5702 Guaranteed Localization of More Sources Than Sensors With Finite …