RT Journal Article
T1 On the multilinear Hausdorff problem of moments
A1 Ibort, A.
A1 Linares, P.
A1 Llavona, José G.
AB Given a multi-index sequence necessary and sufficient conditions are given for the existence of a regular Borel polymeasure on the unit interval such that . This problem will be called the weak multilinear Hausdorff problemof moments for . Comparison with classical results will allow us to relate the weak multilinear Hausdorff problem with the multivariate Hausdorff problem. A solution to the strong multilinear Hausdorff problem of moments will be provided by exhibiting necessary and sufficient conditions for the existence of a Radon measure on such that where is the -linear moment functional on the space of continuous functions on the unit interval defined by the sequence . Finally the previous results will be used to provide a characterization of a class of weakly harmonizable stochastic processes with bimeasures supported on compact sets.
PB Springer
SN 1139-1138
YR 2014
FD 2014-01
LK https://hdl.handle.net/20.500.14352/33479
UL https://hdl.handle.net/20.500.14352/33479
LA eng
NO Spain MICIN
NO QUITEMAD
NO Fundacion Caja Madrid
NO FPU-MEC
NO "Programa de formacion del profesorado universitario del MEC"
NO MTM 2006-03531
DS Docta Complutense
RD 20 abr 2025